Finding the Third Proportional to 6,614.16 and 13,684.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,614.16 : 13,684.78 = 13,684.78 : x
2. Step 2: Convert to fraction form
   6,614.16/13,684.78 = 13,684.78/x
3. Step 3: Cross multiply
   6,614.16x = 13,684.78 × 13,684.78
4. Step 4: Simplify right side
   6,614.16x = 187,273,237.86
5. Step 5: Solve for x
   x = 187,273,237.86/6,614.16
6. Step 6: Final answer
   x = 28,314.00