Finding the Third Proportional to 8,188 and 17,570

Step by Step Solution

1. Step 1: Write the proportion equation
   8,188 : 17,570 = 17,570 : x
2. Step 2: Convert to fraction form
   8,188/17,570 = 17,570/x
3. Step 3: Cross multiply
   8,188x = 17,570 × 17,570
4. Step 4: Simplify right side
   8,188x = 308,704,900
5. Step 5: Solve for x
   x = 308,704,900/8,188
6. Step 6: Final answer
   x = 37,702.11