Finding the Third Proportional to 32,796 and 72,630

Step by Step Solution

1. Step 1: Write the proportion equation
   32,796 : 72,630 = 72,630 : x
2. Step 2: Convert to fraction form
   32,796/72,630 = 72,630/x
3. Step 3: Cross multiply
   32,796x = 72,630 × 72,630
4. Step 4: Simplify right side
   32,796x = 5,275,116,900
5. Step 5: Solve for x
   x = 5,275,116,900/32,796
6. Step 6: Final answer
   x = 160,846.35