Finding the Third Proportional to 12,082 and 17,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,082 : 17,690.50 = 17,690.50 : x
2. Step 2: Convert to fraction form
   12,082/17,690.50 = 17,690.50/x
3. Step 3: Cross multiply
   12,082x = 17,690.50 × 17,690.50
4. Step 4: Simplify right side
   12,082x = 312,953,790.25
5. Step 5: Solve for x
   x = 312,953,790.25/12,082
6. Step 6: Final answer
   x = 25,902.48