Finding the Third Proportional to 33,252 and 72,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,252 : 72,967.50 = 72,967.50 : x
2. Step 2: Convert to fraction form
   33,252/72,967.50 = 72,967.50/x
3. Step 3: Cross multiply
   33,252x = 72,967.50 × 72,967.50
4. Step 4: Simplify right side
   33,252x = 5,324,256,056.25
5. Step 5: Solve for x
   x = 5,324,256,056.25/33,252
6. Step 6: Final answer
   x = 160,118.37