Finding the Third Proportional to 3,292.31 and 7,663.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,292.31 : 7,663.78 = 7,663.78 : x
2. Step 2: Convert to fraction form
   3,292.31/7,663.78 = 7,663.78/x
3. Step 3: Cross multiply
   3,292.31x = 7,663.78 × 7,663.78
4. Step 4: Simplify right side
   3,292.31x = 58,733,543.05
5. Step 5: Solve for x
   x = 58,733,543.05/3,292.31
6. Step 6: Final answer
   x = 17,839.60