Finding the Third Proportional to 21,032 and 32,561

Step by Step Solution

1. Step 1: Write the proportion equation
   21,032 : 32,561 = 32,561 : x
2. Step 2: Convert to fraction form
   21,032/32,561 = 32,561/x
3. Step 3: Cross multiply
   21,032x = 32,561 × 32,561
4. Step 4: Simplify right side
   21,032x = 1,060,218,721
5. Step 5: Solve for x
   x = 1,060,218,721/21,032
6. Step 6: Final answer
   x = 50,409.79