Finding the Third Proportional to 2,422 and 5,605

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422 : 5,605 = 5,605 : x
2. Step 2: Convert to fraction form
   2,422/5,605 = 5,605/x
3. Step 3: Cross multiply
   2,422x = 5,605 × 5,605
4. Step 4: Simplify right side
   2,422x = 31,416,025
5. Step 5: Solve for x
   x = 31,416,025/2,422
6. Step 6: Final answer
   x = 12,971.11