Finding the Third Proportional to 10,369.50 and 16,082.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,369.50 : 16,082.63 = 16,082.63 : x
2. Step 2: Convert to fraction form
   10,369.50/16,082.63 = 16,082.63/x
3. Step 3: Cross multiply
   10,369.50x = 16,082.63 × 16,082.63
4. Step 4: Simplify right side
   10,369.50x = 258,650,826.89
5. Step 5: Solve for x
   x = 258,650,826.89/10,369.50
6. Step 6: Final answer
   x = 24,943.42