Finding the Third Proportional to 1,065 and 1,472

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065 : 1,472 = 1,472 : x
2. Step 2: Convert to fraction form
   1,065/1,472 = 1,472/x
3. Step 3: Cross multiply
   1,065x = 1,472 × 1,472
4. Step 4: Simplify right side
   1,065x = 2,166,784
5. Step 5: Solve for x
   x = 2,166,784/1,065
6. Step 6: Final answer
   x = 2,034.54