Finding the Third Proportional to 33,768 and 53,676

Step by Step Solution

1. Step 1: Write the proportion equation
   33,768 : 53,676 = 53,676 : x
2. Step 2: Convert to fraction form
   33,768/53,676 = 53,676/x
3. Step 3: Cross multiply
   33,768x = 53,676 × 53,676
4. Step 4: Simplify right side
   33,768x = 2,881,112,976
5. Step 5: Solve for x
   x = 2,881,112,976/33,768
6. Step 6: Final answer
   x = 85,320.81