Finding the Third Proportional to 21,257 and 32,801

Step by Step Solution

1. Step 1: Write the proportion equation
   21,257 : 32,801 = 32,801 : x
2. Step 2: Convert to fraction form
   21,257/32,801 = 32,801/x
3. Step 3: Cross multiply
   21,257x = 32,801 × 32,801
4. Step 4: Simplify right side
   21,257x = 1,075,905,601
5. Step 5: Solve for x
   x = 1,075,905,601/21,257
6. Step 6: Final answer
   x = 50,614.18