Finding the Third Proportional to 33,786 and 52,008

Step by Step Solution

1. Step 1: Write the proportion equation
   33,786 : 52,008 = 52,008 : x
2. Step 2: Convert to fraction form
   33,786/52,008 = 52,008/x
3. Step 3: Cross multiply
   33,786x = 52,008 × 52,008
4. Step 4: Simplify right side
   33,786x = 2,704,832,064
5. Step 5: Solve for x
   x = 2,704,832,064/33,786
6. Step 6: Final answer
   x = 80,057.78