Finding the Third Proportional to 10,099.69 and 15,306.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.69 : 15,306.47 = 15,306.47 : x
2. Step 2: Convert to fraction form
   10,099.69/15,306.47 = 15,306.47/x
3. Step 3: Cross multiply
   10,099.69x = 15,306.47 × 15,306.47
4. Step 4: Simplify right side
   10,099.69x = 234,287,985.59
5. Step 5: Solve for x
   x = 234,287,985.59/10,099.69
6. Step 6: Final answer
   x = 23,197.55