Finding the Third Proportional to 33,852 and 49,470

Step by Step Solution

1. Step 1: Write the proportion equation
   33,852 : 49,470 = 49,470 : x
2. Step 2: Convert to fraction form
   33,852/49,470 = 49,470/x
3. Step 3: Cross multiply
   33,852x = 49,470 × 49,470
4. Step 4: Simplify right side
   33,852x = 2,447,280,900
5. Step 5: Solve for x
   x = 2,447,280,900/33,852
6. Step 6: Final answer
   x = 72,293.54