Finding the Third Proportional to 8,117.25 and 17,723.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,117.25 : 17,723.25 = 17,723.25 : x
2. Step 2: Convert to fraction form
   8,117.25/17,723.25 = 17,723.25/x
3. Step 3: Cross multiply
   8,117.25x = 17,723.25 × 17,723.25
4. Step 4: Simplify right side
   8,117.25x = 314,113,590.56
5. Step 5: Solve for x
   x = 314,113,590.56/8,117.25
6. Step 6: Final answer
   x = 38,697.05