Finding the Third Proportional to 14,082 and 19,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,082 : 19,687.50 = 19,687.50 : x
2. Step 2: Convert to fraction form
   14,082/19,687.50 = 19,687.50/x
3. Step 3: Cross multiply
   14,082x = 19,687.50 × 19,687.50
4. Step 4: Simplify right side
   14,082x = 387,597,656.25
5. Step 5: Solve for x
   x = 387,597,656.25/14,082
6. Step 6: Final answer
   x = 27,524.33