Finding the Third Proportional to 10,540.13 and 15,965.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.13 : 15,965.86 = 15,965.86 : x
2. Step 2: Convert to fraction form
   10,540.13/15,965.86 = 15,965.86/x
3. Step 3: Cross multiply
   10,540.13x = 15,965.86 × 15,965.86
4. Step 4: Simplify right side
   10,540.13x = 254,908,665.58
5. Step 5: Solve for x
   x = 254,908,665.58/10,540.13
6. Step 6: Final answer
   x = 24,184.60