Finding the Third Proportional to 6,906.09 and 14,713.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.09 : 14,713.31 = 14,713.31 : x
2. Step 2: Convert to fraction form
   6,906.09/14,713.31 = 14,713.31/x
3. Step 3: Cross multiply
   6,906.09x = 14,713.31 × 14,713.31
4. Step 4: Simplify right side
   6,906.09x = 216,481,564.72
5. Step 5: Solve for x
   x = 216,481,564.72/6,906.09
6. Step 6: Final answer
   x = 31,346.46