Finding the Third Proportional to 35,314 and 73,532

Step by Step Solution

1. Step 1: Write the proportion equation
   35,314 : 73,532 = 73,532 : x
2. Step 2: Convert to fraction form
   35,314/73,532 = 73,532/x
3. Step 3: Cross multiply
   35,314x = 73,532 × 73,532
4. Step 4: Simplify right side
   35,314x = 5,406,955,024
5. Step 5: Solve for x
   x = 5,406,955,024/35,314
6. Step 6: Final answer
   x = 153,110.81