Finding the Third Proportional to 10,072.69 and 15,337.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.69 : 15,337.69 = 15,337.69 : x
2. Step 2: Convert to fraction form
   10,072.69/15,337.69 = 15,337.69/x
3. Step 3: Cross multiply
   10,072.69x = 15,337.69 × 15,337.69
4. Step 4: Simplify right side
   10,072.69x = 235,244,657.85
5. Step 5: Solve for x
   x = 235,244,657.85/10,072.69
6. Step 6: Final answer
   x = 23,354.71