Finding the Third Proportional to 10,156 and 15,522

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156 : 15,522 = 15,522 : x
2. Step 2: Convert to fraction form
   10,156/15,522 = 15,522/x
3. Step 3: Cross multiply
   10,156x = 15,522 × 15,522
4. Step 4: Simplify right side
   10,156x = 240,932,484
5. Step 5: Solve for x
   x = 240,932,484/10,156
6. Step 6: Final answer
   x = 23,723.17