Finding the Third Proportional to 1,025.41 and 1,537.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.41 : 1,537.78 = 1,537.78 : x
2. Step 2: Convert to fraction form
   1,025.41/1,537.78 = 1,537.78/x
3. Step 3: Cross multiply
   1,025.41x = 1,537.78 × 1,537.78
4. Step 4: Simplify right side
   1,025.41x = 2,364,771.17
5. Step 5: Solve for x
   x = 2,364,771.17/1,025.41
6. Step 6: Final answer
   x = 2,306.18