Finding the Third Proportional to 10,082.25 and 15,160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.25 : 15,160.50 = 15,160.50 : x
2. Step 2: Convert to fraction form
   10,082.25/15,160.50 = 15,160.50/x
3. Step 3: Cross multiply
   10,082.25x = 15,160.50 × 15,160.50
4. Step 4: Simplify right side
   10,082.25x = 229,840,760.25
5. Step 5: Solve for x
   x = 229,840,760.25/10,082.25
6. Step 6: Final answer
   x = 22,796.57