Finding the Third Proportional to 33,645 and 52,782

Step by Step Solution

1. Step 1: Write the proportion equation
   33,645 : 52,782 = 52,782 : x
2. Step 2: Convert to fraction form
   33,645/52,782 = 52,782/x
3. Step 3: Cross multiply
   33,645x = 52,782 × 52,782
4. Step 4: Simplify right side
   33,645x = 2,785,939,524
5. Step 5: Solve for x
   x = 2,785,939,524/33,645
6. Step 6: Final answer
   x = 82,803.97