Finding the Third Proportional to 17,682 and 37,146

Step by Step Solution

1. Step 1: Write the proportion equation
   17,682 : 37,146 = 37,146 : x
2. Step 2: Convert to fraction form
   17,682/37,146 = 37,146/x
3. Step 3: Cross multiply
   17,682x = 37,146 × 37,146
4. Step 4: Simplify right side
   17,682x = 1,379,825,316
5. Step 5: Solve for x
   x = 1,379,825,316/17,682
6. Step 6: Final answer
   x = 78,035.59