Finding the Third Proportional to 9,256.50 and 18,857.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.50 : 18,857.25 = 18,857.25 : x
2. Step 2: Convert to fraction form
   9,256.50/18,857.25 = 18,857.25/x
3. Step 3: Cross multiply
   9,256.50x = 18,857.25 × 18,857.25
4. Step 4: Simplify right side
   9,256.50x = 355,595,877.56
5. Step 5: Solve for x
   x = 355,595,877.56/9,256.50
6. Step 6: Final answer
   x = 38,415.80