Finding the Third Proportional to 31,509 and 60,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,509 : 60,655.50 = 60,655.50 : x
2. Step 2: Convert to fraction form
   31,509/60,655.50 = 60,655.50/x
3. Step 3: Cross multiply
   31,509x = 60,655.50 × 60,655.50
4. Step 4: Simplify right side
   31,509x = 3,679,089,680.25
5. Step 5: Solve for x
   x = 3,679,089,680.25/31,509
6. Step 6: Final answer
   x = 116,763.14