Finding the Third Proportional to 33,467.50 and 72,767

Step by Step Solution

1. Step 1: Write the proportion equation
   33,467.50 : 72,767 = 72,767 : x
2. Step 2: Convert to fraction form
   33,467.50/72,767 = 72,767/x
3. Step 3: Cross multiply
   33,467.50x = 72,767 × 72,767
4. Step 4: Simplify right side
   33,467.50x = 5,295,036,289
5. Step 5: Solve for x
   x = 5,295,036,289/33,467.50
6. Step 6: Final answer
   x = 158,214.28