Finding the Third Proportional to 21,616.50 and 31,722.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,616.50 : 31,722.75 = 31,722.75 : x
2. Step 2: Convert to fraction form
   21,616.50/31,722.75 = 31,722.75/x
3. Step 3: Cross multiply
   21,616.50x = 31,722.75 × 31,722.75
4. Step 4: Simplify right side
   21,616.50x = 1,006,332,867.56
5. Step 5: Solve for x
   x = 1,006,332,867.56/21,616.50
6. Step 6: Final answer
   x = 46,553.92