Finding the Third Proportional to 8,296.25 and 17,564.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,296.25 : 17,564.25 = 17,564.25 : x
2. Step 2: Convert to fraction form
   8,296.25/17,564.25 = 17,564.25/x
3. Step 3: Cross multiply
   8,296.25x = 17,564.25 × 17,564.25
4. Step 4: Simplify right side
   8,296.25x = 308,502,878.06
5. Step 5: Solve for x
   x = 308,502,878.06/8,296.25
6. Step 6: Final answer
   x = 37,185.82