Finding the Third Proportional to 5,644.77 and 8,614.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.77 : 8,614.52 = 8,614.52 : x
2. Step 2: Convert to fraction form
   5,644.77/8,614.52 = 8,614.52/x
3. Step 3: Cross multiply
   5,644.77x = 8,614.52 × 8,614.52
4. Step 4: Simplify right side
   5,644.77x = 74,209,887.87
5. Step 5: Solve for x
   x = 74,209,887.87/5,644.77
6. Step 6: Final answer
   x = 13,146.67