Finding the Third Proportional to 6,784.69 and 14,764.13

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784.69 : 14,764.13 = 14,764.13 : x
2. Step 2: Convert to fraction form
   6,784.69/14,764.13 = 14,764.13/x
3. Step 3: Cross multiply
   6,784.69x = 14,764.13 × 14,764.13
4. Step 4: Simplify right side
   6,784.69x = 217,979,387.02
5. Step 5: Solve for x
   x = 217,979,387.02/6,784.69
6. Step 6: Final answer
   x = 32,128.14