Finding the Third Proportional to 5,644 and 12,071

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644 : 12,071 = 12,071 : x
2. Step 2: Convert to fraction form
   5,644/12,071 = 12,071/x
3. Step 3: Cross multiply
   5,644x = 12,071 × 12,071
4. Step 4: Simplify right side
   5,644x = 145,709,041
5. Step 5: Solve for x
   x = 145,709,041/5,644
6. Step 6: Final answer
   x = 25,816.63