Finding the Third Proportional to 1,434 and 1,632

Step by Step Solution

1. Step 1: Write the proportion equation
   1,434 : 1,632 = 1,632 : x
2. Step 2: Convert to fraction form
   1,434/1,632 = 1,632/x
3. Step 3: Cross multiply
   1,434x = 1,632 × 1,632
4. Step 4: Simplify right side
   1,434x = 2,663,424
5. Step 5: Solve for x
   x = 2,663,424/1,434
6. Step 6: Final answer
   x = 1,857.34