Finding the Third Proportional to 3,492 and 5,414.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,492 : 5,414.06 = 5,414.06 : x
2. Step 2: Convert to fraction form
   3,492/5,414.06 = 5,414.06/x
3. Step 3: Cross multiply
   3,492x = 5,414.06 × 5,414.06
4. Step 4: Simplify right side
   3,492x = 29,312,072.75
5. Step 5: Solve for x
   x = 29,312,072.75/3,492
6. Step 6: Final answer
   x = 8,394.06