Finding the Third Proportional to 1,404 and 1,602

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404 : 1,602 = 1,602 : x
2. Step 2: Convert to fraction form
   1,404/1,602 = 1,602/x
3. Step 3: Cross multiply
   1,404x = 1,602 × 1,602
4. Step 4: Simplify right side
   1,404x = 2,566,404
5. Step 5: Solve for x
   x = 2,566,404/1,404
6. Step 6: Final answer
   x = 1,827.92