Finding the Third Proportional to 11,566 and 17,782

Step by Step Solution

1. Step 1: Write the proportion equation
   11,566 : 17,782 = 17,782 : x
2. Step 2: Convert to fraction form
   11,566/17,782 = 17,782/x
3. Step 3: Cross multiply
   11,566x = 17,782 × 17,782
4. Step 4: Simplify right side
   11,566x = 316,199,524
5. Step 5: Solve for x
   x = 316,199,524/11,566
6. Step 6: Final answer
   x = 27,338.71