Finding the Third Proportional to 33,362.50 and 72,533

Step by Step Solution

1. Step 1: Write the proportion equation
   33,362.50 : 72,533 = 72,533 : x
2. Step 2: Convert to fraction form
   33,362.50/72,533 = 72,533/x
3. Step 3: Cross multiply
   33,362.50x = 72,533 × 72,533
4. Step 4: Simplify right side
   33,362.50x = 5,261,036,089
5. Step 5: Solve for x
   x = 5,261,036,089/33,362.50
6. Step 6: Final answer
   x = 157,693.10