Finding the Third Proportional to 33,184 and 71,548

Step by Step Solution

1. Step 1: Write the proportion equation
   33,184 : 71,548 = 71,548 : x
2. Step 2: Convert to fraction form
   33,184/71,548 = 71,548/x
3. Step 3: Cross multiply
   33,184x = 71,548 × 71,548
4. Step 4: Simplify right side
   33,184x = 5,119,116,304
5. Step 5: Solve for x
   x = 5,119,116,304/33,184
6. Step 6: Final answer
   x = 154,264.59