Finding the Third Proportional to 35,464 and 52,496

Step by Step Solution

1. Step 1: Write the proportion equation
   35,464 : 52,496 = 52,496 : x
2. Step 2: Convert to fraction form
   35,464/52,496 = 52,496/x
3. Step 3: Cross multiply
   35,464x = 52,496 × 52,496
4. Step 4: Simplify right side
   35,464x = 2,755,830,016
5. Step 5: Solve for x
   x = 2,755,830,016/35,464
6. Step 6: Final answer
   x = 77,707.82