Finding the Third Proportional to 6,448 and 14,141

Step by Step Solution

1. Step 1: Write the proportion equation
   6,448 : 14,141 = 14,141 : x
2. Step 2: Convert to fraction form
   6,448/14,141 = 14,141/x
3. Step 3: Cross multiply
   6,448x = 14,141 × 14,141
4. Step 4: Simplify right side
   6,448x = 199,967,881
5. Step 5: Solve for x
   x = 199,967,881/6,448
6. Step 6: Final answer
   x = 31,012.39