Finding the Third Proportional to 33,876 and 49,584

Step by Step Solution

1. Step 1: Write the proportion equation
   33,876 : 49,584 = 49,584 : x
2. Step 2: Convert to fraction form
   33,876/49,584 = 49,584/x
3. Step 3: Cross multiply
   33,876x = 49,584 × 49,584
4. Step 4: Simplify right side
   33,876x = 2,458,573,056
5. Step 5: Solve for x
   x = 2,458,573,056/33,876
6. Step 6: Final answer
   x = 72,575.66