Finding the Third Proportional to 8,136.50 and 17,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,136.50 : 17,764.50 = 17,764.50 : x
2. Step 2: Convert to fraction form
   8,136.50/17,764.50 = 17,764.50/x
3. Step 3: Cross multiply
   8,136.50x = 17,764.50 × 17,764.50
4. Step 4: Simplify right side
   8,136.50x = 315,577,460.25
5. Step 5: Solve for x
   x = 315,577,460.25/8,136.50
6. Step 6: Final answer
   x = 38,785.41