Finding the Third Proportional to 37,863 and 73,876

Step by Step Solution

1. Step 1: Write the proportion equation
   37,863 : 73,876 = 73,876 : x
2. Step 2: Convert to fraction form
   37,863/73,876 = 73,876/x
3. Step 3: Cross multiply
   37,863x = 73,876 × 73,876
4. Step 4: Simplify right side
   37,863x = 5,457,663,376
5. Step 5: Solve for x
   x = 5,457,663,376/37,863
6. Step 6: Final answer
   x = 144,142.39