Finding the Third Proportional to 6,811.50 and 14,698.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,811.50 : 14,698.69 = 14,698.69 : x
2. Step 2: Convert to fraction form
   6,811.50/14,698.69 = 14,698.69/x
3. Step 3: Cross multiply
   6,811.50x = 14,698.69 × 14,698.69
4. Step 4: Simplify right side
   6,811.50x = 216,051,414.22
5. Step 5: Solve for x
   x = 216,051,414.22/6,811.50
6. Step 6: Final answer
   x = 31,718.63