Finding the Third Proportional to 33,844 and 52,692

Step by Step Solution

1. Step 1: Write the proportion equation
   33,844 : 52,692 = 52,692 : x
2. Step 2: Convert to fraction form
   33,844/52,692 = 52,692/x
3. Step 3: Cross multiply
   33,844x = 52,692 × 52,692
4. Step 4: Simplify right side
   33,844x = 2,776,446,864
5. Step 5: Solve for x
   x = 2,776,446,864/33,844
6. Step 6: Final answer
   x = 82,036.61