Finding the Third Proportional to 22,404 and 47,640

Step by Step Solution

1. Step 1: Write the proportion equation
   22,404 : 47,640 = 47,640 : x
2. Step 2: Convert to fraction form
   22,404/47,640 = 47,640/x
3. Step 3: Cross multiply
   22,404x = 47,640 × 47,640
4. Step 4: Simplify right side
   22,404x = 2,269,569,600
5. Step 5: Solve for x
   x = 2,269,569,600/22,404
6. Step 6: Final answer
   x = 101,301.98