Finding the Third Proportional to 32,198 and 49,253

Step by Step Solution

1. Step 1: Write the proportion equation
   32,198 : 49,253 = 49,253 : x
2. Step 2: Convert to fraction form
   32,198/49,253 = 49,253/x
3. Step 3: Cross multiply
   32,198x = 49,253 × 49,253
4. Step 4: Simplify right side
   32,198x = 2,425,858,009
5. Step 5: Solve for x
   x = 2,425,858,009/32,198
6. Step 6: Final answer
   x = 75,341.88