Finding the Third Proportional to 10,802.25 and 16,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.25 : 16,665.75 = 16,665.75 : x
2. Step 2: Convert to fraction form
   10,802.25/16,665.75 = 16,665.75/x
3. Step 3: Cross multiply
   10,802.25x = 16,665.75 × 16,665.75
4. Step 4: Simplify right side
   10,802.25x = 277,747,223.06
5. Step 5: Solve for x
   x = 277,747,223.06/10,802.25
6. Step 6: Final answer
   x = 25,711.98