Finding the Third Proportional to 33,658 and 73,876

Step by Step Solution

1. Step 1: Write the proportion equation
   33,658 : 73,876 = 73,876 : x
2. Step 2: Convert to fraction form
   33,658/73,876 = 73,876/x
3. Step 3: Cross multiply
   33,658x = 73,876 × 73,876
4. Step 4: Simplify right side
   33,658x = 5,457,663,376
5. Step 5: Solve for x
   x = 5,457,663,376/33,658
6. Step 6: Final answer
   x = 162,150.55