Finding the Third Proportional to 9,646.88 and 12,863.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,646.88 : 12,863.25 = 12,863.25 : x
2. Step 2: Convert to fraction form
   9,646.88/12,863.25 = 12,863.25/x
3. Step 3: Cross multiply
   9,646.88x = 12,863.25 × 12,863.25
4. Step 4: Simplify right side
   9,646.88x = 165,463,200.56
5. Step 5: Solve for x
   x = 165,463,200.56/9,646.88
6. Step 6: Final answer
   x = 17,152.00