Finding the Third Proportional to 35,728 and 52,523

Step by Step Solution

1. Step 1: Write the proportion equation
   35,728 : 52,523 = 52,523 : x
2. Step 2: Convert to fraction form
   35,728/52,523 = 52,523/x
3. Step 3: Cross multiply
   35,728x = 52,523 × 52,523
4. Step 4: Simplify right side
   35,728x = 2,758,665,529
5. Step 5: Solve for x
   x = 2,758,665,529/35,728
6. Step 6: Final answer
   x = 77,212.99