Finding the Third Proportional to 17,406,840,689,322 and 37,258,928,841,573

Step by Step Solution

1. Step 1: Write the proportion equation
   17,406,840,689,322 : 37,258,928,841,573 = 37,258,928,841,573 : x
2. Step 2: Convert to fraction form
   17,406,840,689,322/37,258,928,841,573 = 37,258,928,841,573/x
3. Step 3: Cross multiply
   17,406,840,689,322x = 37,258,928,841,573 × 37,258,928,841,573
4. Step 4: Simplify right side
   17,406,840,689,322x = 1,388,227,778,421,400,389,665,423,360
5. Step 5: Solve for x
   x = 1,388,227,778,421,400,389,665,423,360/17,406,840,689,322
6. Step 6: Final answer
   x = 79,751,851,768,999.69