Finding the Third Proportional to 33,663 and 52,809

Step by Step Solution

1. Step 1: Write the proportion equation
   33,663 : 52,809 = 52,809 : x
2. Step 2: Convert to fraction form
   33,663/52,809 = 52,809/x
3. Step 3: Cross multiply
   33,663x = 52,809 × 52,809
4. Step 4: Simplify right side
   33,663x = 2,788,790,481
5. Step 5: Solve for x
   x = 2,788,790,481/33,663
6. Step 6: Final answer
   x = 82,844.38