Finding the Third Proportional to 33,644 and 52,086

Step by Step Solution

1. Step 1: Write the proportion equation
   33,644 : 52,086 = 52,086 : x
2. Step 2: Convert to fraction form
   33,644/52,086 = 52,086/x
3. Step 3: Cross multiply
   33,644x = 52,086 × 52,086
4. Step 4: Simplify right side
   33,644x = 2,712,951,396
5. Step 5: Solve for x
   x = 2,712,951,396/33,644
6. Step 6: Final answer
   x = 80,637.00