Finding the Third Proportional to 77,571 and 101,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,571 : 101,560.50 = 101,560.50 : x
2. Step 2: Convert to fraction form
   77,571/101,560.50 = 101,560.50/x
3. Step 3: Cross multiply
   77,571x = 101,560.50 × 101,560.50
4. Step 4: Simplify right side
   77,571x = 10,314,535,160.25
5. Step 5: Solve for x
   x = 10,314,535,160.25/77,571
6. Step 6: Final answer
   x = 132,968.96