Finding the Third Proportional to 33,642 and 52,778.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,642 : 52,778.25 = 52,778.25 : x
2. Step 2: Convert to fraction form
   33,642/52,778.25 = 52,778.25/x
3. Step 3: Cross multiply
   33,642x = 52,778.25 × 52,778.25
4. Step 4: Simplify right side
   33,642x = 2,785,543,673.06
5. Step 5: Solve for x
   x = 2,785,543,673.06/33,642
6. Step 6: Final answer
   x = 82,799.59