Finding the Third Proportional to 33,084 and 47,166

Step by Step Solution

1. Step 1: Write the proportion equation
   33,084 : 47,166 = 47,166 : x
2. Step 2: Convert to fraction form
   33,084/47,166 = 47,166/x
3. Step 3: Cross multiply
   33,084x = 47,166 × 47,166
4. Step 4: Simplify right side
   33,084x = 2,224,631,556
5. Step 5: Solve for x
   x = 2,224,631,556/33,084
6. Step 6: Final answer
   x = 67,241.92