Finding the Third Proportional to 17,800 and 37,794

Step by Step Solution

1. Step 1: Write the proportion equation
   17,800 : 37,794 = 37,794 : x
2. Step 2: Convert to fraction form
   17,800/37,794 = 37,794/x
3. Step 3: Cross multiply
   17,800x = 37,794 × 37,794
4. Step 4: Simplify right side
   17,800x = 1,428,386,436
5. Step 5: Solve for x
   x = 1,428,386,436/17,800
6. Step 6: Final answer
   x = 80,246.43