Finding the Third Proportional to 1,025.16 and 1,554.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.16 : 1,554.82 = 1,554.82 : x
2. Step 2: Convert to fraction form
   1,025.16/1,554.82 = 1,554.82/x
3. Step 3: Cross multiply
   1,025.16x = 1,554.82 × 1,554.82
4. Step 4: Simplify right side
   1,025.16x = 2,417,466.20
5. Step 5: Solve for x
   x = 2,417,466.20/1,025.16
6. Step 6: Final answer
   x = 2,358.14