Finding the Third Proportional to 1,020 and 1,308

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020 : 1,308 = 1,308 : x
2. Step 2: Convert to fraction form
   1,020/1,308 = 1,308/x
3. Step 3: Cross multiply
   1,020x = 1,308 × 1,308
4. Step 4: Simplify right side
   1,020x = 1,710,864
5. Step 5: Solve for x
   x = 1,710,864/1,020
6. Step 6: Final answer
   x = 1,677.32