Finding the Third Proportional to 32,817 and 72,195

Step by Step Solution

1. Step 1: Write the proportion equation
   32,817 : 72,195 = 72,195 : x
2. Step 2: Convert to fraction form
   32,817/72,195 = 72,195/x
3. Step 3: Cross multiply
   32,817x = 72,195 × 72,195
4. Step 4: Simplify right side
   32,817x = 5,212,118,025
5. Step 5: Solve for x
   x = 5,212,118,025/32,817
6. Step 6: Final answer
   x = 158,823.72