Finding the Third Proportional to 22,160 and 47,568

Step by Step Solution

1. Step 1: Write the proportion equation
   22,160 : 47,568 = 47,568 : x
2. Step 2: Convert to fraction form
   22,160/47,568 = 47,568/x
3. Step 3: Cross multiply
   22,160x = 47,568 × 47,568
4. Step 4: Simplify right side
   22,160x = 2,262,714,624
5. Step 5: Solve for x
   x = 2,262,714,624/22,160
6. Step 6: Final answer
   x = 102,108.06