Finding the Third Proportional to 7,744.50 and 11,689.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,744.50 : 11,689.31 = 11,689.31 : x
2. Step 2: Convert to fraction form
   7,744.50/11,689.31 = 11,689.31/x
3. Step 3: Cross multiply
   7,744.50x = 11,689.31 × 11,689.31
4. Step 4: Simplify right side
   7,744.50x = 136,640,026.72
5. Step 5: Solve for x
   x = 136,640,026.72/7,744.50
6. Step 6: Final answer
   x = 17,643.49