Finding the Third Proportional to 32,972 and 73,314

Step by Step Solution

1. Step 1: Write the proportion equation
   32,972 : 73,314 = 73,314 : x
2. Step 2: Convert to fraction form
   32,972/73,314 = 73,314/x
3. Step 3: Cross multiply
   32,972x = 73,314 × 73,314
4. Step 4: Simplify right side
   32,972x = 5,374,942,596
5. Step 5: Solve for x
   x = 5,374,942,596/32,972
6. Step 6: Final answer
   x = 163,015.36