Finding the Third Proportional to 33,633 and 52,047

Step by Step Solution

1. Step 1: Write the proportion equation
   33,633 : 52,047 = 52,047 : x
2. Step 2: Convert to fraction form
   33,633/52,047 = 52,047/x
3. Step 3: Cross multiply
   33,633x = 52,047 × 52,047
4. Step 4: Simplify right side
   33,633x = 2,708,890,209
5. Step 5: Solve for x
   x = 2,708,890,209/33,633
6. Step 6: Final answer
   x = 80,542.63