Finding the Third Proportional to 17,406,840,689,323 and 37,258,928,841,575

Step by Step Solution

1. Step 1: Write the proportion equation
   17,406,840,689,323 : 37,258,928,841,575 = 37,258,928,841,575 : x
2. Step 2: Convert to fraction form
   17,406,840,689,323/37,258,928,841,575 = 37,258,928,841,575/x
3. Step 3: Cross multiply
   17,406,840,689,323x = 37,258,928,841,575 × 37,258,928,841,575
4. Step 4: Simplify right side
   17,406,840,689,323x = 1,388,227,778,421,549,373,490,987,008
5. Step 5: Solve for x
   x = 1,388,227,778,421,549,373,490,987,008/17,406,840,689,323
6. Step 6: Final answer
   x = 79,751,851,769,003.66