Finding the Third Proportional to 16,082 and 25,590

Step by Step Solution

1. Step 1: Write the proportion equation
   16,082 : 25,590 = 25,590 : x
2. Step 2: Convert to fraction form
   16,082/25,590 = 25,590/x
3. Step 3: Cross multiply
   16,082x = 25,590 × 25,590
4. Step 4: Simplify right side
   16,082x = 654,848,100
5. Step 5: Solve for x
   x = 654,848,100/16,082
6. Step 6: Final answer
   x = 40,719.32