Finding the Third Proportional to 42,082 and 65,459

Step by Step Solution

1. Step 1: Write the proportion equation
   42,082 : 65,459 = 65,459 : x
2. Step 2: Convert to fraction form
   42,082/65,459 = 65,459/x
3. Step 3: Cross multiply
   42,082x = 65,459 × 65,459
4. Step 4: Simplify right side
   42,082x = 4,284,880,681
5. Step 5: Solve for x
   x = 4,284,880,681/42,082
6. Step 6: Final answer
   x = 101,822.17