Finding the Third Proportional to 33,234 and 46,546

Step by Step Solution

1. Step 1: Write the proportion equation
   33,234 : 46,546 = 46,546 : x
2. Step 2: Convert to fraction form
   33,234/46,546 = 46,546/x
3. Step 3: Cross multiply
   33,234x = 46,546 × 46,546
4. Step 4: Simplify right side
   33,234x = 2,166,530,116
5. Step 5: Solve for x
   x = 2,166,530,116/33,234
6. Step 6: Final answer
   x = 65,190.17