Finding the Third Proportional to 33,766 and 72,764

Step by Step Solution

1. Step 1: Write the proportion equation
   33,766 : 72,764 = 72,764 : x
2. Step 2: Convert to fraction form
   33,766/72,764 = 72,764/x
3. Step 3: Cross multiply
   33,766x = 72,764 × 72,764
4. Step 4: Simplify right side
   33,766x = 5,294,599,696
5. Step 5: Solve for x
   x = 5,294,599,696/33,766
6. Step 6: Final answer
   x = 156,802.69