Finding the Third Proportional to 10,757.25 and 15,782.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,757.25 : 15,782.63 = 15,782.63 : x
2. Step 2: Convert to fraction form
   10,757.25/15,782.63 = 15,782.63/x
3. Step 3: Cross multiply
   10,757.25x = 15,782.63 × 15,782.63
4. Step 4: Simplify right side
   10,757.25x = 249,091,251.89
5. Step 5: Solve for x
   x = 249,091,251.89/10,757.25
6. Step 6: Final answer
   x = 23,155.66