Finding the Third Proportional to 33,876 and 50,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,876 : 50,323.50 = 50,323.50 : x
2. Step 2: Convert to fraction form
   33,876/50,323.50 = 50,323.50/x
3. Step 3: Cross multiply
   33,876x = 50,323.50 × 50,323.50
4. Step 4: Simplify right side
   33,876x = 2,532,454,652.25
5. Step 5: Solve for x
   x = 2,532,454,652.25/33,876
6. Step 6: Final answer
   x = 74,756.60