Finding the Third Proportional to 1,648.25 and 2,521.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.25 : 2,521.38 = 2,521.38 : x
2. Step 2: Convert to fraction form
   1,648.25/2,521.38 = 2,521.38/x
3. Step 3: Cross multiply
   1,648.25x = 2,521.38 × 2,521.38
4. Step 4: Simplify right side
   1,648.25x = 6,357,331.89
5. Step 5: Solve for x
   x = 6,357,331.89/1,648.25
6. Step 6: Final answer
   x = 3,857.02