Finding the Third Proportional to 17,784 and 31,836

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784 : 31,836 = 31,836 : x
2. Step 2: Convert to fraction form
   17,784/31,836 = 31,836/x
3. Step 3: Cross multiply
   17,784x = 31,836 × 31,836
4. Step 4: Simplify right side
   17,784x = 1,013,530,896
5. Step 5: Solve for x
   x = 1,013,530,896/17,784
6. Step 6: Final answer
   x = 56,991.17