Finding the Third Proportional to 17,676 and 35,816

Step by Step Solution

1. Step 1: Write the proportion equation
   17,676 : 35,816 = 35,816 : x
2. Step 2: Convert to fraction form
   17,676/35,816 = 35,816/x
3. Step 3: Cross multiply
   17,676x = 35,816 × 35,816
4. Step 4: Simplify right side
   17,676x = 1,282,785,856
5. Step 5: Solve for x
   x = 1,282,785,856/17,676
6. Step 6: Final answer
   x = 72,572.18