Finding the Third Proportional to 2,666.25 and 3,948.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666.25 : 3,948.75 = 3,948.75 : x
2. Step 2: Convert to fraction form
   2,666.25/3,948.75 = 3,948.75/x
3. Step 3: Cross multiply
   2,666.25x = 3,948.75 × 3,948.75
4. Step 4: Simplify right side
   2,666.25x = 15,592,626.56
5. Step 5: Solve for x
   x = 15,592,626.56/2,666.25
6. Step 6: Final answer
   x = 5,848.15