Finding the Third Proportional to 33,076 and 71,228

Step by Step Solution

1. Step 1: Write the proportion equation
   33,076 : 71,228 = 71,228 : x
2. Step 2: Convert to fraction form
   33,076/71,228 = 71,228/x
3. Step 3: Cross multiply
   33,076x = 71,228 × 71,228
4. Step 4: Simplify right side
   33,076x = 5,073,427,984
5. Step 5: Solve for x
   x = 5,073,427,984/33,076
6. Step 6: Final answer
   x = 153,386.99