Finding the Third Proportional to 1,540.48 and 2,502.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.48 : 2,502.98 = 2,502.98 : x
2. Step 2: Convert to fraction form
   1,540.48/2,502.98 = 2,502.98/x
3. Step 3: Cross multiply
   1,540.48x = 2,502.98 × 2,502.98
4. Step 4: Simplify right side
   1,540.48x = 6,264,930.78
5. Step 5: Solve for x
   x = 6,264,930.78/1,540.48
6. Step 6: Final answer
   x = 4,066.88