Finding the Third Proportional to 33,452 and 72,184

Step by Step Solution

1. Step 1: Write the proportion equation
   33,452 : 72,184 = 72,184 : x
2. Step 2: Convert to fraction form
   33,452/72,184 = 72,184/x
3. Step 3: Cross multiply
   33,452x = 72,184 × 72,184
4. Step 4: Simplify right side
   33,452x = 5,210,529,856
5. Step 5: Solve for x
   x = 5,210,529,856/33,452
6. Step 6: Final answer
   x = 155,761.39