Finding the Third Proportional to 14,408 and 31,648

Step by Step Solution

1. Step 1: Write the proportion equation
   14,408 : 31,648 = 31,648 : x
2. Step 2: Convert to fraction form
   14,408/31,648 = 31,648/x
3. Step 3: Cross multiply
   14,408x = 31,648 × 31,648
4. Step 4: Simplify right side
   14,408x = 1,001,595,904
5. Step 5: Solve for x
   x = 1,001,595,904/14,408
6. Step 6: Final answer
   x = 69,516.65