Finding the Third Proportional to 6,707.81 and 14,569.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,707.81 : 14,569.31 = 14,569.31 : x
2. Step 2: Convert to fraction form
   6,707.81/14,569.31 = 14,569.31/x
3. Step 3: Cross multiply
   6,707.81x = 14,569.31 × 14,569.31
4. Step 4: Simplify right side
   6,707.81x = 212,264,866.72
5. Step 5: Solve for x
   x = 212,264,866.72/6,707.81
6. Step 6: Final answer
   x = 31,644.42