Finding the Third Proportional to 10,508.25 and 15,841.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,508.25 : 15,841.88 = 15,841.88 : x
2. Step 2: Convert to fraction form
   10,508.25/15,841.88 = 15,841.88/x
3. Step 3: Cross multiply
   10,508.25x = 15,841.88 × 15,841.88
4. Step 4: Simplify right side
   10,508.25x = 250,965,003.52
5. Step 5: Solve for x
   x = 250,965,003.52/10,508.25
6. Step 6: Final answer
   x = 23,882.66