Finding the Third Proportional to 13,223.25 and 17,971.88

Step by Step Solution

1. Step 1: Write the proportion equation
   13,223.25 : 17,971.88 = 17,971.88 : x
2. Step 2: Convert to fraction form
   13,223.25/17,971.88 = 17,971.88/x
3. Step 3: Cross multiply
   13,223.25x = 17,971.88 × 17,971.88
4. Step 4: Simplify right side
   13,223.25x = 322,988,291.02
5. Step 5: Solve for x
   x = 322,988,291.02/13,223.25
6. Step 6: Final answer
   x = 24,425.79