Finding the Third Proportional to 2,525.25 and 3,802.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,525.25 : 3,802.13 = 3,802.13 : x
2. Step 2: Convert to fraction form
   2,525.25/3,802.13 = 3,802.13/x
3. Step 3: Cross multiply
   2,525.25x = 3,802.13 × 3,802.13
4. Step 4: Simplify right side
   2,525.25x = 14,456,154.52
5. Step 5: Solve for x
   x = 14,456,154.52/2,525.25
6. Step 6: Final answer
   x = 5,724.64