Finding the Third Proportional to 6,834.56 and 14,686.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,834.56 : 14,686.69 = 14,686.69 : x
2. Step 2: Convert to fraction form
   6,834.56/14,686.69 = 14,686.69/x
3. Step 3: Cross multiply
   6,834.56x = 14,686.69 × 14,686.69
4. Step 4: Simplify right side
   6,834.56x = 215,698,789.72
5. Step 5: Solve for x
   x = 215,698,789.72/6,834.56
6. Step 6: Final answer
   x = 31,560.00