Finding the Third Proportional to 31,965.50 and 48,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,965.50 : 48,921.50 = 48,921.50 : x
2. Step 2: Convert to fraction form
   31,965.50/48,921.50 = 48,921.50/x
3. Step 3: Cross multiply
   31,965.50x = 48,921.50 × 48,921.50
4. Step 4: Simplify right side
   31,965.50x = 2,393,313,162.25
5. Step 5: Solve for x
   x = 2,393,313,162.25/31,965.50
6. Step 6: Final answer
   x = 74,871.76