Finding the Third Proportional to 14,304 and 31,516

Step by Step Solution

1. Step 1: Write the proportion equation
   14,304 : 31,516 = 31,516 : x
2. Step 2: Convert to fraction form
   14,304/31,516 = 31,516/x
3. Step 3: Cross multiply
   14,304x = 31,516 × 31,516
4. Step 4: Simplify right side
   14,304x = 993,258,256
5. Step 5: Solve for x
   x = 993,258,256/14,304
6. Step 6: Final answer
   x = 69,439.20