Finding the Third Proportional to 13,082 and 19,650

Step by Step Solution

1. Step 1: Write the proportion equation
   13,082 : 19,650 = 19,650 : x
2. Step 2: Convert to fraction form
   13,082/19,650 = 19,650/x
3. Step 3: Cross multiply
   13,082x = 19,650 × 19,650
4. Step 4: Simplify right side
   13,082x = 386,122,500
5. Step 5: Solve for x
   x = 386,122,500/13,082
6. Step 6: Final answer
   x = 29,515.56