Finding the Third Proportional to 9,862.31 and 13,872.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,862.31 : 13,872.09 = 13,872.09 : x
2. Step 2: Convert to fraction form
   9,862.31/13,872.09 = 13,872.09/x
3. Step 3: Cross multiply
   9,862.31x = 13,872.09 × 13,872.09
4. Step 4: Simplify right side
   9,862.31x = 192,434,985.01
5. Step 5: Solve for x
   x = 192,434,985.01/9,862.31
6. Step 6: Final answer
   x = 19,512.16