Finding the Third Proportional to 33,766 and 73,478

Step by Step Solution

1. Step 1: Write the proportion equation
   33,766 : 73,478 = 73,478 : x
2. Step 2: Convert to fraction form
   33,766/73,478 = 73,478/x
3. Step 3: Cross multiply
   33,766x = 73,478 × 73,478
4. Step 4: Simplify right side
   33,766x = 5,399,016,484
5. Step 5: Solve for x
   x = 5,399,016,484/33,766
6. Step 6: Final answer
   x = 159,895.06