Finding the Third Proportional to 6,906.52 and 14,785.03

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.52 : 14,785.03 = 14,785.03 : x
2. Step 2: Convert to fraction form
   6,906.52/14,785.03 = 14,785.03/x
3. Step 3: Cross multiply
   6,906.52x = 14,785.03 × 14,785.03
4. Step 4: Simplify right side
   6,906.52x = 218,597,149.06
5. Step 5: Solve for x
   x = 218,597,149.06/6,906.52
6. Step 6: Final answer
   x = 31,650.86