Finding the Third Proportional to 5,666 and 12,061

Step by Step Solution

1. Step 1: Write the proportion equation
   5,666 : 12,061 = 12,061 : x
2. Step 2: Convert to fraction form
   5,666/12,061 = 12,061/x
3. Step 3: Cross multiply
   5,666x = 12,061 × 12,061
4. Step 4: Simplify right side
   5,666x = 145,467,721
5. Step 5: Solve for x
   x = 145,467,721/5,666
6. Step 6: Final answer
   x = 25,673.79