Finding the Third Proportional to 10,459.13 and 14,382.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.13 : 14,382.56 = 14,382.56 : x
2. Step 2: Convert to fraction form
   10,459.13/14,382.56 = 14,382.56/x
3. Step 3: Cross multiply
   10,459.13x = 14,382.56 × 14,382.56
4. Step 4: Simplify right side
   10,459.13x = 206,858,104.07
5. Step 5: Solve for x
   x = 206,858,104.07/10,459.13
6. Step 6: Final answer
   x = 19,777.76