Finding the Third Proportional to 2,209.15 and 4,808.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,209.15 : 4,808.74 = 4,808.74 : x
2. Step 2: Convert to fraction form
   2,209.15/4,808.74 = 4,808.74/x
3. Step 3: Cross multiply
   2,209.15x = 4,808.74 × 4,808.74
4. Step 4: Simplify right side
   2,209.15x = 23,124,001.43
5. Step 5: Solve for x
   x = 23,124,001.43/2,209.15
6. Step 6: Final answer
   x = 10,467.38