Finding the Third Proportional to 33,184 and 71,905

Step by Step Solution

1. Step 1: Write the proportion equation
   33,184 : 71,905 = 71,905 : x
2. Step 2: Convert to fraction form
   33,184/71,905 = 71,905/x
3. Step 3: Cross multiply
   33,184x = 71,905 × 71,905
4. Step 4: Simplify right side
   33,184x = 5,170,329,025
5. Step 5: Solve for x
   x = 5,170,329,025/33,184
6. Step 6: Final answer
   x = 155,807.89