Finding the Third Proportional to 33,812 and 52,563

Step by Step Solution

1. Step 1: Write the proportion equation
   33,812 : 52,563 = 52,563 : x
2. Step 2: Convert to fraction form
   33,812/52,563 = 52,563/x
3. Step 3: Cross multiply
   33,812x = 52,563 × 52,563
4. Step 4: Simplify right side
   33,812x = 2,762,868,969
5. Step 5: Solve for x
   x = 2,762,868,969/33,812
6. Step 6: Final answer
   x = 81,712.68