Finding the Third Proportional to 33,890 and 72,676

Step by Step Solution

1. Step 1: Write the proportion equation
   33,890 : 72,676 = 72,676 : x
2. Step 2: Convert to fraction form
   33,890/72,676 = 72,676/x
3. Step 3: Cross multiply
   33,890x = 72,676 × 72,676
4. Step 4: Simplify right side
   33,890x = 5,281,800,976
5. Step 5: Solve for x
   x = 5,281,800,976/33,890
6. Step 6: Final answer
   x = 155,851.31