Finding the Third Proportional to 1,906.88 and 4,609.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,906.88 : 4,609.69 = 4,609.69 : x
2. Step 2: Convert to fraction form
   1,906.88/4,609.69 = 4,609.69/x
3. Step 3: Cross multiply
   1,906.88x = 4,609.69 × 4,609.69
4. Step 4: Simplify right side
   1,906.88x = 21,249,218.85
5. Step 5: Solve for x
   x = 21,249,218.85/1,906.88
6. Step 6: Final answer
   x = 11,143.48