Finding the Third Proportional to 9,256.78 and 13,095.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.78 : 13,095.42 = 13,095.42 : x
2. Step 2: Convert to fraction form
   9,256.78/13,095.42 = 13,095.42/x
3. Step 3: Cross multiply
   9,256.78x = 13,095.42 × 13,095.42
4. Step 4: Simplify right side
   9,256.78x = 171,490,074.08
5. Step 5: Solve for x
   x = 171,490,074.08/9,256.78
6. Step 6: Final answer
   x = 18,525.89