Finding the Third Proportional to 9,382.50 and 13,196.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,382.50 : 13,196.25 = 13,196.25 : x
2. Step 2: Convert to fraction form
   9,382.50/13,196.25 = 13,196.25/x
3. Step 3: Cross multiply
   9,382.50x = 13,196.25 × 13,196.25
4. Step 4: Simplify right side
   9,382.50x = 174,141,014.06
5. Step 5: Solve for x
   x = 174,141,014.06/9,382.50
6. Step 6: Final answer
   x = 18,560.19