Finding the Third Proportional to 19,159 and 31,661

Step by Step Solution

1. Step 1: Write the proportion equation
   19,159 : 31,661 = 31,661 : x
2. Step 2: Convert to fraction form
   19,159/31,661 = 31,661/x
3. Step 3: Cross multiply
   19,159x = 31,661 × 31,661
4. Step 4: Simplify right side
   19,159x = 1,002,418,921
5. Step 5: Solve for x
   x = 1,002,418,921/19,159
6. Step 6: Final answer
   x = 52,321.05