Finding the Third Proportional to 14,678 and 30,814

Step by Step Solution

1. Step 1: Write the proportion equation
   14,678 : 30,814 = 30,814 : x
2. Step 2: Convert to fraction form
   14,678/30,814 = 30,814/x
3. Step 3: Cross multiply
   14,678x = 30,814 × 30,814
4. Step 4: Simplify right side
   14,678x = 949,502,596
5. Step 5: Solve for x
   x = 949,502,596/14,678
6. Step 6: Final answer
   x = 64,688.83