Finding the Third Proportional to 20,900 and 30,214

Step by Step Solution

1. Step 1: Write the proportion equation
   20,900 : 30,214 = 30,214 : x
2. Step 2: Convert to fraction form
   20,900/30,214 = 30,214/x
3. Step 3: Cross multiply
   20,900x = 30,214 × 30,214
4. Step 4: Simplify right side
   20,900x = 912,885,796
5. Step 5: Solve for x
   x = 912,885,796/20,900
6. Step 6: Final answer
   x = 43,678.75