Finding the Third Proportional to 5,802.75 and 9,007.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,802.75 : 9,007.31 = 9,007.31 : x
2. Step 2: Convert to fraction form
   5,802.75/9,007.31 = 9,007.31/x
3. Step 3: Cross multiply
   5,802.75x = 9,007.31 × 9,007.31
4. Step 4: Simplify right side
   5,802.75x = 81,131,678.47
5. Step 5: Solve for x
   x = 81,131,678.47/5,802.75
6. Step 6: Final answer
   x = 13,981.59