Finding the Third Proportional to 21,600 and 35,271

Step by Step Solution

1. Step 1: Write the proportion equation
   21,600 : 35,271 = 35,271 : x
2. Step 2: Convert to fraction form
   21,600/35,271 = 35,271/x
3. Step 3: Cross multiply
   21,600x = 35,271 × 35,271
4. Step 4: Simplify right side
   21,600x = 1,244,043,441
5. Step 5: Solve for x
   x = 1,244,043,441/21,600
6. Step 6: Final answer
   x = 57,594.60