Finding the Third Proportional to 35,741 and 52,571.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,741 : 52,571.50 = 52,571.50 : x
2. Step 2: Convert to fraction form
   35,741/52,571.50 = 52,571.50/x
3. Step 3: Cross multiply
   35,741x = 52,571.50 × 52,571.50
4. Step 4: Simplify right side
   35,741x = 2,763,762,612.25
5. Step 5: Solve for x
   x = 2,763,762,612.25/35,741
6. Step 6: Final answer
   x = 77,327.51