Finding the Third Proportional to 12,082 and 17,312

Step by Step Solution

1. Step 1: Write the proportion equation
   12,082 : 17,312 = 17,312 : x
2. Step 2: Convert to fraction form
   12,082/17,312 = 17,312/x
3. Step 3: Cross multiply
   12,082x = 17,312 × 17,312
4. Step 4: Simplify right side
   12,082x = 299,705,344
5. Step 5: Solve for x
   x = 299,705,344/12,082
6. Step 6: Final answer
   x = 24,805.94