Finding the Third Proportional to 1,080 and 1,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,080 : 1,618.50 = 1,618.50 : x
2. Step 2: Convert to fraction form
   1,080/1,618.50 = 1,618.50/x
3. Step 3: Cross multiply
   1,080x = 1,618.50 × 1,618.50
4. Step 4: Simplify right side
   1,080x = 2,619,542.25
5. Step 5: Solve for x
   x = 2,619,542.25/1,080
6. Step 6: Final answer
   x = 2,425.50