Finding the Third Proportional to 7,814 and 17,930

Step by Step Solution

1. Step 1: Write the proportion equation
   7,814 : 17,930 = 17,930 : x
2. Step 2: Convert to fraction form
   7,814/17,930 = 17,930/x
3. Step 3: Cross multiply
   7,814x = 17,930 × 17,930
4. Step 4: Simplify right side
   7,814x = 321,484,900
5. Step 5: Solve for x
   x = 321,484,900/7,814
6. Step 6: Final answer
   x = 41,142.17