Finding the Third Proportional to 17,685 and 37,795

Step by Step Solution

1. Step 1: Write the proportion equation
   17,685 : 37,795 = 37,795 : x
2. Step 2: Convert to fraction form
   17,685/37,795 = 37,795/x
3. Step 3: Cross multiply
   17,685x = 37,795 × 37,795
4. Step 4: Simplify right side
   17,685x = 1,428,462,025
5. Step 5: Solve for x
   x = 1,428,462,025/17,685
6. Step 6: Final answer
   x = 80,772.52