Finding the Third Proportional to 6,411 and 12,147

Step by Step Solution

1. Step 1: Write the proportion equation
   6,411 : 12,147 = 12,147 : x
2. Step 2: Convert to fraction form
   6,411/12,147 = 12,147/x
3. Step 3: Cross multiply
   6,411x = 12,147 × 12,147
4. Step 4: Simplify right side
   6,411x = 147,549,609
5. Step 5: Solve for x
   x = 147,549,609/6,411
6. Step 6: Final answer
   x = 23,015.07