Finding the Third Proportional to 13,641.75 and 23,726.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,641.75 : 23,726.25 = 23,726.25 : x
2. Step 2: Convert to fraction form
   13,641.75/23,726.25 = 23,726.25/x
3. Step 3: Cross multiply
   13,641.75x = 23,726.25 × 23,726.25
4. Step 4: Simplify right side
   13,641.75x = 562,934,939.06
5. Step 5: Solve for x
   x = 562,934,939.06/13,641.75
6. Step 6: Final answer
   x = 41,265.60