Finding the Third Proportional to 33,583 and 49,906

Step by Step Solution

1. Step 1: Write the proportion equation
   33,583 : 49,906 = 49,906 : x
2. Step 2: Convert to fraction form
   33,583/49,906 = 49,906/x
3. Step 3: Cross multiply
   33,583x = 49,906 × 49,906
4. Step 4: Simplify right side
   33,583x = 2,490,608,836
5. Step 5: Solve for x
   x = 2,490,608,836/33,583
6. Step 6: Final answer
   x = 74,162.79