Finding the Third Proportional to 17,766 and 36,142

Step by Step Solution

1. Step 1: Write the proportion equation
   17,766 : 36,142 = 36,142 : x
2. Step 2: Convert to fraction form
   17,766/36,142 = 36,142/x
3. Step 3: Cross multiply
   17,766x = 36,142 × 36,142
4. Step 4: Simplify right side
   17,766x = 1,306,244,164
5. Step 5: Solve for x
   x = 1,306,244,164/17,766
6. Step 6: Final answer
   x = 73,524.94