Finding the Third Proportional to 33,814 and 53,042

Step by Step Solution

1. Step 1: Write the proportion equation
   33,814 : 53,042 = 53,042 : x
2. Step 2: Convert to fraction form
   33,814/53,042 = 53,042/x
3. Step 3: Cross multiply
   33,814x = 53,042 × 53,042
4. Step 4: Simplify right side
   33,814x = 2,813,453,764
5. Step 5: Solve for x
   x = 2,813,453,764/33,814
6. Step 6: Final answer
   x = 83,203.81