Finding the Third Proportional to 1,909.69 and 4,087.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,909.69 : 4,087.69 = 4,087.69 : x
2. Step 2: Convert to fraction form
   1,909.69/4,087.69 = 4,087.69/x
3. Step 3: Cross multiply
   1,909.69x = 4,087.69 × 4,087.69
4. Step 4: Simplify right side
   1,909.69x = 16,709,189.10
5. Step 5: Solve for x
   x = 16,709,189.10/1,909.69
6. Step 6: Final answer
   x = 8,749.70