Finding the Third Proportional to 1,165.50 and 1,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.50 : 1,648.50 = 1,648.50 : x
2. Step 2: Convert to fraction form
   1,165.50/1,648.50 = 1,648.50/x
3. Step 3: Cross multiply
   1,165.50x = 1,648.50 × 1,648.50
4. Step 4: Simplify right side
   1,165.50x = 2,717,552.25
5. Step 5: Solve for x
   x = 2,717,552.25/1,165.50
6. Step 6: Final answer
   x = 2,331.66