Finding the Third Proportional to 4,672.69 and 5,492.81

Step by Step Solution

1. Step 1: Write the proportion equation
   4,672.69 : 5,492.81 = 5,492.81 : x
2. Step 2: Convert to fraction form
   4,672.69/5,492.81 = 5,492.81/x
3. Step 3: Cross multiply
   4,672.69x = 5,492.81 × 5,492.81
4. Step 4: Simplify right side
   4,672.69x = 30,170,989.16
5. Step 5: Solve for x
   x = 30,170,989.16/4,672.69
6. Step 6: Final answer
   x = 6,456.88