Finding the Third Proportional to 13,697 and 21,150

Step by Step Solution

1. Step 1: Write the proportion equation
   13,697 : 21,150 = 21,150 : x
2. Step 2: Convert to fraction form
   13,697/21,150 = 21,150/x
3. Step 3: Cross multiply
   13,697x = 21,150 × 21,150
4. Step 4: Simplify right side
   13,697x = 447,322,500
5. Step 5: Solve for x
   x = 447,322,500/13,697
6. Step 6: Final answer
   x = 32,658.43