Finding the Third Proportional to 10,265.50 and 15,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.50 : 15,926.50 = 15,926.50 : x
2. Step 2: Convert to fraction form
   10,265.50/15,926.50 = 15,926.50/x
3. Step 3: Cross multiply
   10,265.50x = 15,926.50 × 15,926.50
4. Step 4: Simplify right side
   10,265.50x = 253,653,402.25
5. Step 5: Solve for x
   x = 253,653,402.25/10,265.50
6. Step 6: Final answer
   x = 24,709.31