Finding the Third Proportional to 34,884 and 49,838

Step by Step Solution

1. Step 1: Write the proportion equation
   34,884 : 49,838 = 49,838 : x
2. Step 2: Convert to fraction form
   34,884/49,838 = 49,838/x
3. Step 3: Cross multiply
   34,884x = 49,838 × 49,838
4. Step 4: Simplify right side
   34,884x = 2,483,826,244
5. Step 5: Solve for x
   x = 2,483,826,244/34,884
6. Step 6: Final answer
   x = 71,202.45