Finding the Third Proportional to 8,361 and 17,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,361 : 17,797.50 = 17,797.50 : x
2. Step 2: Convert to fraction form
   8,361/17,797.50 = 17,797.50/x
3. Step 3: Cross multiply
   8,361x = 17,797.50 × 17,797.50
4. Step 4: Simplify right side
   8,361x = 316,751,006.25
5. Step 5: Solve for x
   x = 316,751,006.25/8,361
6. Step 6: Final answer
   x = 37,884.34