Finding the Third Proportional to 19,714 and 31,212

Step by Step Solution

1. Step 1: Write the proportion equation
   19,714 : 31,212 = 31,212 : x
2. Step 2: Convert to fraction form
   19,714/31,212 = 31,212/x
3. Step 3: Cross multiply
   19,714x = 31,212 × 31,212
4. Step 4: Simplify right side
   19,714x = 974,188,944
5. Step 5: Solve for x
   x = 974,188,944/19,714
6. Step 6: Final answer
   x = 49,416.10