Finding the Third Proportional to 16,082 and 34,588

Step by Step Solution

1. Step 1: Write the proportion equation
   16,082 : 34,588 = 34,588 : x
2. Step 2: Convert to fraction form
   16,082/34,588 = 34,588/x
3. Step 3: Cross multiply
   16,082x = 34,588 × 34,588
4. Step 4: Simplify right side
   16,082x = 1,196,329,744
5. Step 5: Solve for x
   x = 1,196,329,744/16,082
6. Step 6: Final answer
   x = 74,389.36