Finding the Third Proportional to 33,244 and 71,772

Step by Step Solution

1. Step 1: Write the proportion equation
   33,244 : 71,772 = 71,772 : x
2. Step 2: Convert to fraction form
   33,244/71,772 = 71,772/x
3. Step 3: Cross multiply
   33,244x = 71,772 × 71,772
4. Step 4: Simplify right side
   33,244x = 5,151,219,984
5. Step 5: Solve for x
   x = 5,151,219,984/33,244
6. Step 6: Final answer
   x = 154,951.87