Finding the Third Proportional to 14,024 and 30,964

Step by Step Solution

1. Step 1: Write the proportion equation
   14,024 : 30,964 = 30,964 : x
2. Step 2: Convert to fraction form
   14,024/30,964 = 30,964/x
3. Step 3: Cross multiply
   14,024x = 30,964 × 30,964
4. Step 4: Simplify right side
   14,024x = 958,769,296
5. Step 5: Solve for x
   x = 958,769,296/14,024
6. Step 6: Final answer
   x = 68,366.32