Finding the Third Proportional to 11,409 and 24,522

Step by Step Solution

1. Step 1: Write the proportion equation
   11,409 : 24,522 = 24,522 : x
2. Step 2: Convert to fraction form
   11,409/24,522 = 24,522/x
3. Step 3: Cross multiply
   11,409x = 24,522 × 24,522
4. Step 4: Simplify right side
   11,409x = 601,328,484
5. Step 5: Solve for x
   x = 601,328,484/11,409
6. Step 6: Final answer
   x = 52,706.50