Finding the Third Proportional to 1,909 and 3,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,909 : 3,870.50 = 3,870.50 : x
2. Step 2: Convert to fraction form
   1,909/3,870.50 = 3,870.50/x
3. Step 3: Cross multiply
   1,909x = 3,870.50 × 3,870.50
4. Step 4: Simplify right side
   1,909x = 14,980,770.25
5. Step 5: Solve for x
   x = 14,980,770.25/1,909
6. Step 6: Final answer
   x = 7,847.44