Finding the Third Proportional to 2,498.50 and 3,666.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.50 : 3,666.75 = 3,666.75 : x
2. Step 2: Convert to fraction form
   2,498.50/3,666.75 = 3,666.75/x
3. Step 3: Cross multiply
   2,498.50x = 3,666.75 × 3,666.75
4. Step 4: Simplify right side
   2,498.50x = 13,445,055.56
5. Step 5: Solve for x
   x = 13,445,055.56/2,498.50
6. Step 6: Final answer
   x = 5,381.25