Finding the Third Proportional to 9,643.50 and 12,858.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.50 : 12,858.75 = 12,858.75 : x
2. Step 2: Convert to fraction form
   9,643.50/12,858.75 = 12,858.75/x
3. Step 3: Cross multiply
   9,643.50x = 12,858.75 × 12,858.75
4. Step 4: Simplify right side
   9,643.50x = 165,347,451.56
5. Step 5: Solve for x
   x = 165,347,451.56/9,643.50
6. Step 6: Final answer
   x = 17,146.00