Finding the Third Proportional to 5,614.31 and 7,786.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,614.31 : 7,786.13 = 7,786.13 : x
2. Step 2: Convert to fraction form
   5,614.31/7,786.13 = 7,786.13/x
3. Step 3: Cross multiply
   5,614.31x = 7,786.13 × 7,786.13
4. Step 4: Simplify right side
   5,614.31x = 60,623,742.52
5. Step 5: Solve for x
   x = 60,623,742.52/5,614.31
6. Step 6: Final answer
   x = 10,798.07