Finding the Third Proportional to 6,940.69 and 14,686.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,940.69 : 14,686.31 = 14,686.31 : x
2. Step 2: Convert to fraction form
   6,940.69/14,686.31 = 14,686.31/x
3. Step 3: Cross multiply
   6,940.69x = 14,686.31 × 14,686.31
4. Step 4: Simplify right side
   6,940.69x = 215,687,774.85
5. Step 5: Solve for x
   x = 215,687,774.85/6,940.69
6. Step 6: Final answer
   x = 31,075.85