Finding the Third Proportional to 13,641.75 and 19,433.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,641.75 : 19,433.25 = 19,433.25 : x
2. Step 2: Convert to fraction form
   13,641.75/19,433.25 = 19,433.25/x
3. Step 3: Cross multiply
   13,641.75x = 19,433.25 × 19,433.25
4. Step 4: Simplify right side
   13,641.75x = 377,651,205.56
5. Step 5: Solve for x
   x = 377,651,205.56/13,641.75
6. Step 6: Final answer
   x = 27,683.49