Finding the Third Proportional to 1,012 and 1,374

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012 : 1,374 = 1,374 : x
2. Step 2: Convert to fraction form
   1,012/1,374 = 1,374/x
3. Step 3: Cross multiply
   1,012x = 1,374 × 1,374
4. Step 4: Simplify right side
   1,012x = 1,887,876
5. Step 5: Solve for x
   x = 1,887,876/1,012
6. Step 6: Final answer
   x = 1,865.49