Finding the Third Proportional to 33,484 and 73,178

Step by Step Solution

1. Step 1: Write the proportion equation
   33,484 : 73,178 = 73,178 : x
2. Step 2: Convert to fraction form
   33,484/73,178 = 73,178/x
3. Step 3: Cross multiply
   33,484x = 73,178 × 73,178
4. Step 4: Simplify right side
   33,484x = 5,355,019,684
5. Step 5: Solve for x
   x = 5,355,019,684/33,484
6. Step 6: Final answer
   x = 159,927.72