Finding the Third Proportional to 35,464 and 52,494

Step by Step Solution

1. Step 1: Write the proportion equation
   35,464 : 52,494 = 52,494 : x
2. Step 2: Convert to fraction form
   35,464/52,494 = 52,494/x
3. Step 3: Cross multiply
   35,464x = 52,494 × 52,494
4. Step 4: Simplify right side
   35,464x = 2,755,620,036
5. Step 5: Solve for x
   x = 2,755,620,036/35,464
6. Step 6: Final answer
   x = 77,701.90