Finding the Third Proportional to 51,876 and 73,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,876 : 73,183.50 = 73,183.50 : x
2. Step 2: Convert to fraction form
   51,876/73,183.50 = 73,183.50/x
3. Step 3: Cross multiply
   51,876x = 73,183.50 × 73,183.50
4. Step 4: Simplify right side
   51,876x = 5,355,824,672.25
5. Step 5: Solve for x
   x = 5,355,824,672.25/51,876
6. Step 6: Final answer
   x = 103,242.82