Finding the Third Proportional to 1,919.63 and 4,204.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,919.63 : 4,204.69 = 4,204.69 : x
2. Step 2: Convert to fraction form
   1,919.63/4,204.69 = 4,204.69/x
3. Step 3: Cross multiply
   1,919.63x = 4,204.69 × 4,204.69
4. Step 4: Simplify right side
   1,919.63x = 17,679,396.97
5. Step 5: Solve for x
   x = 17,679,396.97/1,919.63
6. Step 6: Final answer
   x = 9,209.82