Finding the Third Proportional to 1,125.14 and 2,425.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,125.14 : 2,425.57 = 2,425.57 : x
2. Step 2: Convert to fraction form
   1,125.14/2,425.57 = 2,425.57/x
3. Step 3: Cross multiply
   1,125.14x = 2,425.57 × 2,425.57
4. Step 4: Simplify right side
   1,125.14x = 5,883,391.34
5. Step 5: Solve for x
   x = 5,883,391.34/1,125.14
6. Step 6: Final answer
   x = 5,229.03