Finding the Third Proportional to 10,152 and 15,082

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 15,082 = 15,082 : x
2. Step 2: Convert to fraction form
   10,152/15,082 = 15,082/x
3. Step 3: Cross multiply
   10,152x = 15,082 × 15,082
4. Step 4: Simplify right side
   10,152x = 227,466,724
5. Step 5: Solve for x
   x = 227,466,724/10,152
6. Step 6: Final answer
   x = 22,406.10