Finding the Third Proportional to 1,492.31 and 3,514.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.31 : 3,514.78 = 3,514.78 : x
2. Step 2: Convert to fraction form
   1,492.31/3,514.78 = 3,514.78/x
3. Step 3: Cross multiply
   1,492.31x = 3,514.78 × 3,514.78
4. Step 4: Simplify right side
   1,492.31x = 12,353,687.24
5. Step 5: Solve for x
   x = 12,353,687.24/1,492.31
6. Step 6: Final answer
   x = 8,278.22