Finding the Third Proportional to 10,216.13 and 14,527.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.13 : 14,527.69 = 14,527.69 : x
2. Step 2: Convert to fraction form
   10,216.13/14,527.69 = 14,527.69/x
3. Step 3: Cross multiply
   10,216.13x = 14,527.69 × 14,527.69
4. Step 4: Simplify right side
   10,216.13x = 211,053,704.10
5. Step 5: Solve for x
   x = 211,053,704.10/10,216.13
6. Step 6: Final answer
   x = 20,658.88