Finding the Third Proportional to 6,469 and 12,032

Step by Step Solution

1. Step 1: Write the proportion equation
   6,469 : 12,032 = 12,032 : x
2. Step 2: Convert to fraction form
   6,469/12,032 = 12,032/x
3. Step 3: Cross multiply
   6,469x = 12,032 × 12,032
4. Step 4: Simplify right side
   6,469x = 144,769,024
5. Step 5: Solve for x
   x = 144,769,024/6,469
6. Step 6: Final answer
   x = 22,378.89