Finding the Third Proportional to 23,082 and 34,584

Step by Step Solution

1. Step 1: Write the proportion equation
   23,082 : 34,584 = 34,584 : x
2. Step 2: Convert to fraction form
   23,082/34,584 = 34,584/x
3. Step 3: Cross multiply
   23,082x = 34,584 × 34,584
4. Step 4: Simplify right side
   23,082x = 1,196,053,056
5. Step 5: Solve for x
   x = 1,196,053,056/23,082
6. Step 6: Final answer
   x = 51,817.57