Finding the Third Proportional to 32,224 and 72,676

Step by Step Solution

1. Step 1: Write the proportion equation
   32,224 : 72,676 = 72,676 : x
2. Step 2: Convert to fraction form
   32,224/72,676 = 72,676/x
3. Step 3: Cross multiply
   32,224x = 72,676 × 72,676
4. Step 4: Simplify right side
   32,224x = 5,281,800,976
5. Step 5: Solve for x
   x = 5,281,800,976/32,224
6. Step 6: Final answer
   x = 163,908.92