Finding the Third Proportional to 8,219.25 and 17,669.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,219.25 : 17,669.25 = 17,669.25 : x
2. Step 2: Convert to fraction form
   8,219.25/17,669.25 = 17,669.25/x
3. Step 3: Cross multiply
   8,219.25x = 17,669.25 × 17,669.25
4. Step 4: Simplify right side
   8,219.25x = 312,202,395.56
5. Step 5: Solve for x
   x = 312,202,395.56/8,219.25
6. Step 6: Final answer
   x = 37,984.29