Finding the Third Proportional to 2,400 and 3,506.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,400 : 3,506.25 = 3,506.25 : x
2. Step 2: Convert to fraction form
   2,400/3,506.25 = 3,506.25/x
3. Step 3: Cross multiply
   2,400x = 3,506.25 × 3,506.25
4. Step 4: Simplify right side
   2,400x = 12,293,789.06
5. Step 5: Solve for x
   x = 12,293,789.06/2,400
6. Step 6: Final answer
   x = 5,122.41