Finding the Third Proportional to 10,290.25 and 15,862.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.25 : 15,862.88 = 15,862.88 : x
2. Step 2: Convert to fraction form
   10,290.25/15,862.88 = 15,862.88/x
3. Step 3: Cross multiply
   10,290.25x = 15,862.88 × 15,862.88
4. Step 4: Simplify right side
   10,290.25x = 251,630,803.27
5. Step 5: Solve for x
   x = 251,630,803.27/10,290.25
6. Step 6: Final answer
   x = 24,453.32