Finding the Third Proportional to 9,256.50 and 19,616.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.50 : 19,616.34 = 19,616.34 : x
2. Step 2: Convert to fraction form
   9,256.50/19,616.34 = 19,616.34/x
3. Step 3: Cross multiply
   9,256.50x = 19,616.34 × 19,616.34
4. Step 4: Simplify right side
   9,256.50x = 384,800,942.12
5. Step 5: Solve for x
   x = 384,800,942.12/9,256.50
6. Step 6: Final answer
   x = 41,570.89