Finding the Third Proportional to 35,772 and 52,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,772 : 52,560.50 = 52,560.50 : x
2. Step 2: Convert to fraction form
   35,772/52,560.50 = 52,560.50/x
3. Step 3: Cross multiply
   35,772x = 52,560.50 × 52,560.50
4. Step 4: Simplify right side
   35,772x = 2,762,606,160.25
5. Step 5: Solve for x
   x = 2,762,606,160.25/35,772
6. Step 6: Final answer
   x = 77,228.17