Finding the Third Proportional to 10,366.13 and 16,009.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366.13 : 16,009.88 = 16,009.88 : x
2. Step 2: Convert to fraction form
   10,366.13/16,009.88 = 16,009.88/x
3. Step 3: Cross multiply
   10,366.13x = 16,009.88 × 16,009.88
4. Step 4: Simplify right side
   10,366.13x = 256,316,097.52
5. Step 5: Solve for x
   x = 256,316,097.52/10,366.13
6. Step 6: Final answer
   x = 24,726.32