Finding the Third Proportional to 33,876 and 89,919

Step by Step Solution

1. Step 1: Write the proportion equation
   33,876 : 89,919 = 89,919 : x
2. Step 2: Convert to fraction form
   33,876/89,919 = 89,919/x
3. Step 3: Cross multiply
   33,876x = 89,919 × 89,919
4. Step 4: Simplify right side
   33,876x = 8,085,426,561
5. Step 5: Solve for x
   x = 8,085,426,561/33,876
6. Step 6: Final answer
   x = 238,677.13