Finding the Third Proportional to 8,188.50 and 17,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,188.50 : 17,572.50 = 17,572.50 : x
2. Step 2: Convert to fraction form
   8,188.50/17,572.50 = 17,572.50/x
3. Step 3: Cross multiply
   8,188.50x = 17,572.50 × 17,572.50
4. Step 4: Simplify right side
   8,188.50x = 308,792,756.25
5. Step 5: Solve for x
   x = 308,792,756.25/8,188.50
6. Step 6: Final answer
   x = 37,710.54