Finding the Third Proportional to 33,108 and 72,166

Step by Step Solution

1. Step 1: Write the proportion equation
   33,108 : 72,166 = 72,166 : x
2. Step 2: Convert to fraction form
   33,108/72,166 = 72,166/x
3. Step 3: Cross multiply
   33,108x = 72,166 × 72,166
4. Step 4: Simplify right side
   33,108x = 5,207,931,556
5. Step 5: Solve for x
   x = 5,207,931,556/33,108
6. Step 6: Final answer
   x = 157,301.30