Finding the Third Proportional to 3,900 and 5,492.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,900 : 5,492.25 = 5,492.25 : x
2. Step 2: Convert to fraction form
   3,900/5,492.25 = 5,492.25/x
3. Step 3: Cross multiply
   3,900x = 5,492.25 × 5,492.25
4. Step 4: Simplify right side
   3,900x = 30,164,810.06
5. Step 5: Solve for x
   x = 30,164,810.06/3,900
6. Step 6: Final answer
   x = 7,734.57