Finding the Third Proportional to 1,020 and 1,606.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020 : 1,606.88 = 1,606.88 : x
2. Step 2: Convert to fraction form
   1,020/1,606.88 = 1,606.88/x
3. Step 3: Cross multiply
   1,020x = 1,606.88 × 1,606.88
4. Step 4: Simplify right side
   1,020x = 2,582,047.27
5. Step 5: Solve for x
   x = 2,582,047.27/1,020
6. Step 6: Final answer
   x = 2,531.42