Finding the Third Proportional to 10,082.50 and 16,015.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.50 : 16,015.25 = 16,015.25 : x
2. Step 2: Convert to fraction form
   10,082.50/16,015.25 = 16,015.25/x
3. Step 3: Cross multiply
   10,082.50x = 16,015.25 × 16,015.25
4. Step 4: Simplify right side
   10,082.50x = 256,488,232.56
5. Step 5: Solve for x
   x = 256,488,232.56/10,082.50
6. Step 6: Final answer
   x = 25,438.95