Finding the Third Proportional to 9,862.75 and 13,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,862.75 : 13,872.50 = 13,872.50 : x
2. Step 2: Convert to fraction form
   9,862.75/13,872.50 = 13,872.50/x
3. Step 3: Cross multiply
   9,862.75x = 13,872.50 × 13,872.50
4. Step 4: Simplify right side
   9,862.75x = 192,446,256.25
5. Step 5: Solve for x
   x = 192,446,256.25/9,862.75
6. Step 6: Final answer
   x = 19,512.43