Finding the Third Proportional to 1,587.57 and 2,456.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,587.57 : 2,456.10 = 2,456.10 : x
2. Step 2: Convert to fraction form
   1,587.57/2,456.10 = 2,456.10/x
3. Step 3: Cross multiply
   1,587.57x = 2,456.10 × 2,456.10
4. Step 4: Simplify right side
   1,587.57x = 6,032,444.48
5. Step 5: Solve for x
   x = 6,032,444.48/1,587.57
6. Step 6: Final answer
   x = 3,799.80