Finding the Third Proportional to 27,408 and 59,082

Step by Step Solution

1. Step 1: Write the proportion equation
   27,408 : 59,082 = 59,082 : x
2. Step 2: Convert to fraction form
   27,408/59,082 = 59,082/x
3. Step 3: Cross multiply
   27,408x = 59,082 × 59,082
4. Step 4: Simplify right side
   27,408x = 3,490,682,724
5. Step 5: Solve for x
   x = 3,490,682,724/27,408
6. Step 6: Final answer
   x = 127,359.99