Finding the Third Proportional to 33,666 and 49,848

Step by Step Solution

1. Step 1: Write the proportion equation
   33,666 : 49,848 = 49,848 : x
2. Step 2: Convert to fraction form
   33,666/49,848 = 49,848/x
3. Step 3: Cross multiply
   33,666x = 49,848 × 49,848
4. Step 4: Simplify right side
   33,666x = 2,484,823,104
5. Step 5: Solve for x
   x = 2,484,823,104/33,666
6. Step 6: Final answer
   x = 73,808.09