Finding the Third Proportional to 33,164 and 71,580

Step by Step Solution

1. Step 1: Write the proportion equation
   33,164 : 71,580 = 71,580 : x
2. Step 2: Convert to fraction form
   33,164/71,580 = 71,580/x
3. Step 3: Cross multiply
   33,164x = 71,580 × 71,580
4. Step 4: Simplify right side
   33,164x = 5,123,696,400
5. Step 5: Solve for x
   x = 5,123,696,400/33,164
6. Step 6: Final answer
   x = 154,495.73