Finding the Third Proportional to 14,565 and 31,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,565 : 31,321.50 = 31,321.50 : x
2. Step 2: Convert to fraction form
   14,565/31,321.50 = 31,321.50/x
3. Step 3: Cross multiply
   14,565x = 31,321.50 × 31,321.50
4. Step 4: Simplify right side
   14,565x = 981,036,362.25
5. Step 5: Solve for x
   x = 981,036,362.25/14,565
6. Step 6: Final answer
   x = 67,355.74