Finding the Third Proportional to 33,503 and 73,580

Step by Step Solution

1. Step 1: Write the proportion equation
   33,503 : 73,580 = 73,580 : x
2. Step 2: Convert to fraction form
   33,503/73,580 = 73,580/x
3. Step 3: Cross multiply
   33,503x = 73,580 × 73,580
4. Step 4: Simplify right side
   33,503x = 5,414,016,400
5. Step 5: Solve for x
   x = 5,414,016,400/33,503
6. Step 6: Final answer
   x = 161,597.96