Finding the Third Proportional to 17,802 and 37,986.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,802 : 37,986.75 = 37,986.75 : x
2. Step 2: Convert to fraction form
   17,802/37,986.75 = 37,986.75/x
3. Step 3: Cross multiply
   17,802x = 37,986.75 × 37,986.75
4. Step 4: Simplify right side
   17,802x = 1,442,993,175.56
5. Step 5: Solve for x
   x = 1,442,993,175.56/17,802
6. Step 6: Final answer
   x = 81,057.92