Finding the Third Proportional to 9,714 and 21,438

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714 : 21,438 = 21,438 : x
2. Step 2: Convert to fraction form
   9,714/21,438 = 21,438/x
3. Step 3: Cross multiply
   9,714x = 21,438 × 21,438
4. Step 4: Simplify right side
   9,714x = 459,587,844
5. Step 5: Solve for x
   x = 459,587,844/9,714
6. Step 6: Final answer
   x = 47,311.90