Finding the Third Proportional to 17,771 and 23,786

Step by Step Solution

1. Step 1: Write the proportion equation
   17,771 : 23,786 = 23,786 : x
2. Step 2: Convert to fraction form
   17,771/23,786 = 23,786/x
3. Step 3: Cross multiply
   17,771x = 23,786 × 23,786
4. Step 4: Simplify right side
   17,771x = 565,773,796
5. Step 5: Solve for x
   x = 565,773,796/17,771
6. Step 6: Final answer
   x = 31,836.91