Finding the Third Proportional to 2,452.13 and 3,751.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,452.13 : 3,751.78 = 3,751.78 : x
2. Step 2: Convert to fraction form
   2,452.13/3,751.78 = 3,751.78/x
3. Step 3: Cross multiply
   2,452.13x = 3,751.78 × 3,751.78
4. Step 4: Simplify right side
   2,452.13x = 14,075,862.55
5. Step 5: Solve for x
   x = 14,075,862.55/2,452.13
6. Step 6: Final answer
   x = 5,740.27