Finding the Third Proportional to 33,408 and 49,113

Step by Step Solution

1. Step 1: Write the proportion equation
   33,408 : 49,113 = 49,113 : x
2. Step 2: Convert to fraction form
   33,408/49,113 = 49,113/x
3. Step 3: Cross multiply
   33,408x = 49,113 × 49,113
4. Step 4: Simplify right side
   33,408x = 2,412,086,769
5. Step 5: Solve for x
   x = 2,412,086,769/33,408
6. Step 6: Final answer
   x = 72,200.87