Finding the Third Proportional to 22,409 and 31,405

Step by Step Solution

1. Step 1: Write the proportion equation
   22,409 : 31,405 = 31,405 : x
2. Step 2: Convert to fraction form
   22,409/31,405 = 31,405/x
3. Step 3: Cross multiply
   22,409x = 31,405 × 31,405
4. Step 4: Simplify right side
   22,409x = 986,274,025
5. Step 5: Solve for x
   x = 986,274,025/22,409
6. Step 6: Final answer
   x = 44,012.41