Finding the Third Proportional to 33,782 and 52,002

Step by Step Solution

1. Step 1: Write the proportion equation
   33,782 : 52,002 = 52,002 : x
2. Step 2: Convert to fraction form
   33,782/52,002 = 52,002/x
3. Step 3: Cross multiply
   33,782x = 52,002 × 52,002
4. Step 4: Simplify right side
   33,782x = 2,704,208,004
5. Step 5: Solve for x
   x = 2,704,208,004/33,782
6. Step 6: Final answer
   x = 80,048.78