Finding the Third Proportional to 2,309.50 and 4,406.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,309.50 : 4,406.38 = 4,406.38 : x
2. Step 2: Convert to fraction form
   2,309.50/4,406.38 = 4,406.38/x
3. Step 3: Cross multiply
   2,309.50x = 4,406.38 × 4,406.38
4. Step 4: Simplify right side
   2,309.50x = 19,416,140.64
5. Step 5: Solve for x
   x = 19,416,140.64/2,309.50
6. Step 6: Final answer
   x = 8,407.08