Finding the Third Proportional to 1,602 and 3,492

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602 : 3,492 = 3,492 : x
2. Step 2: Convert to fraction form
   1,602/3,492 = 3,492/x
3. Step 3: Cross multiply
   1,602x = 3,492 × 3,492
4. Step 4: Simplify right side
   1,602x = 12,194,064
5. Step 5: Solve for x
   x = 12,194,064/1,602
6. Step 6: Final answer
   x = 7,611.78