Finding the Third Proportional to 12,340 and 27,082

Step by Step Solution

1. Step 1: Write the proportion equation
   12,340 : 27,082 = 27,082 : x
2. Step 2: Convert to fraction form
   12,340/27,082 = 27,082/x
3. Step 3: Cross multiply
   12,340x = 27,082 × 27,082
4. Step 4: Simplify right side
   12,340x = 733,434,724
5. Step 5: Solve for x
   x = 733,434,724/12,340
6. Step 6: Final answer
   x = 59,435.55