Finding the Third Proportional to 32,976 and 72,225

Step by Step Solution

1. Step 1: Write the proportion equation
   32,976 : 72,225 = 72,225 : x
2. Step 2: Convert to fraction form
   32,976/72,225 = 72,225/x
3. Step 3: Cross multiply
   32,976x = 72,225 × 72,225
4. Step 4: Simplify right side
   32,976x = 5,216,450,625
5. Step 5: Solve for x
   x = 5,216,450,625/32,976
6. Step 6: Final answer
   x = 158,189.31