Finding the Third Proportional to 1,125.98 and 1,648.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,125.98 : 1,648.27 = 1,648.27 : x
2. Step 2: Convert to fraction form
   1,125.98/1,648.27 = 1,648.27/x
3. Step 3: Cross multiply
   1,125.98x = 1,648.27 × 1,648.27
4. Step 4: Simplify right side
   1,125.98x = 2,716,779.57
5. Step 5: Solve for x
   x = 2,716,779.57/1,125.98
6. Step 6: Final answer
   x = 2,412.80