Finding the Third Proportional to 14,517.75 and 31,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,517.75 : 31,802.25 = 31,802.25 : x
2. Step 2: Convert to fraction form
   14,517.75/31,802.25 = 31,802.25/x
3. Step 3: Cross multiply
   14,517.75x = 31,802.25 × 31,802.25
4. Step 4: Simplify right side
   14,517.75x = 1,011,383,105.06
5. Step 5: Solve for x
   x = 1,011,383,105.06/14,517.75
6. Step 6: Final answer
   x = 69,665.28