Finding the Third Proportional to 32,114 and 49,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,114 : 49,399.50 = 49,399.50 : x
2. Step 2: Convert to fraction form
   32,114/49,399.50 = 49,399.50/x
3. Step 3: Cross multiply
   32,114x = 49,399.50 × 49,399.50
4. Step 4: Simplify right side
   32,114x = 2,440,310,600.25
5. Step 5: Solve for x
   x = 2,440,310,600.25/32,114
6. Step 6: Final answer
   x = 75,989.00