Finding the Third Proportional to 33,003 and 72,567

Step by Step Solution

1. Step 1: Write the proportion equation
   33,003 : 72,567 = 72,567 : x
2. Step 2: Convert to fraction form
   33,003/72,567 = 72,567/x
3. Step 3: Cross multiply
   33,003x = 72,567 × 72,567
4. Step 4: Simplify right side
   33,003x = 5,265,969,489
5. Step 5: Solve for x
   x = 5,265,969,489/33,003
6. Step 6: Final answer
   x = 159,560.33