Finding the Third Proportional to 1,498.50 and 3,292.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.50 : 3,292.31 = 3,292.31 : x
2. Step 2: Convert to fraction form
   1,498.50/3,292.31 = 3,292.31/x
3. Step 3: Cross multiply
   1,498.50x = 3,292.31 × 3,292.31
4. Step 4: Simplify right side
   1,498.50x = 10,839,321.60
5. Step 5: Solve for x
   x = 10,839,321.60/1,498.50
6. Step 6: Final answer
   x = 7,233.45