Finding the Third Proportional to 10,335.09 and 15,722.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,335.09 : 15,722.86 = 15,722.86 : x
2. Step 2: Convert to fraction form
   10,335.09/15,722.86 = 15,722.86/x
3. Step 3: Cross multiply
   10,335.09x = 15,722.86 × 15,722.86
4. Step 4: Simplify right side
   10,335.09x = 247,208,306.93
5. Step 5: Solve for x
   x = 247,208,306.93/10,335.09
6. Step 6: Final answer
   x = 23,919.31