Finding the Third Proportional to 16,214 and 35,270

Step by Step Solution

1. Step 1: Write the proportion equation
   16,214 : 35,270 = 35,270 : x
2. Step 2: Convert to fraction form
   16,214/35,270 = 35,270/x
3. Step 3: Cross multiply
   16,214x = 35,270 × 35,270
4. Step 4: Simplify right side
   16,214x = 1,243,972,900
5. Step 5: Solve for x
   x = 1,243,972,900/16,214
6. Step 6: Final answer
   x = 76,722.15