Finding the Third Proportional to 32,814 and 72,189

Step by Step Solution

1. Step 1: Write the proportion equation
   32,814 : 72,189 = 72,189 : x
2. Step 2: Convert to fraction form
   32,814/72,189 = 72,189/x
3. Step 3: Cross multiply
   32,814x = 72,189 × 72,189
4. Step 4: Simplify right side
   32,814x = 5,211,251,721
5. Step 5: Solve for x
   x = 5,211,251,721/32,814
6. Step 6: Final answer
   x = 158,811.84