Finding the Third Proportional to 33,746 and 73,848

Step by Step Solution

1. Step 1: Write the proportion equation
   33,746 : 73,848 = 73,848 : x
2. Step 2: Convert to fraction form
   33,746/73,848 = 73,848/x
3. Step 3: Cross multiply
   33,746x = 73,848 × 73,848
4. Step 4: Simplify right side
   33,746x = 5,453,527,104
5. Step 5: Solve for x
   x = 5,453,527,104/33,746
6. Step 6: Final answer
   x = 161,605.14