Finding the Third Proportional to 12,426 and 26,082

Step by Step Solution

1. Step 1: Write the proportion equation
   12,426 : 26,082 = 26,082 : x
2. Step 2: Convert to fraction form
   12,426/26,082 = 26,082/x
3. Step 3: Cross multiply
   12,426x = 26,082 × 26,082
4. Step 4: Simplify right side
   12,426x = 680,270,724
5. Step 5: Solve for x
   x = 680,270,724/12,426
6. Step 6: Final answer
   x = 54,745.75