Finding the Third Proportional to 12,686.63 and 14,114.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,686.63 : 14,114.25 = 14,114.25 : x
2. Step 2: Convert to fraction form
   12,686.63/14,114.25 = 14,114.25/x
3. Step 3: Cross multiply
   12,686.63x = 14,114.25 × 14,114.25
4. Step 4: Simplify right side
   12,686.63x = 199,212,053.06
5. Step 5: Solve for x
   x = 199,212,053.06/12,686.63
6. Step 6: Final answer
   x = 15,702.53