Finding the Third Proportional to 3,839 and 5,867.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,839 : 5,867.50 = 5,867.50 : x
2. Step 2: Convert to fraction form
   3,839/5,867.50 = 5,867.50/x
3. Step 3: Cross multiply
   3,839x = 5,867.50 × 5,867.50
4. Step 4: Simplify right side
   3,839x = 34,427,556.25
5. Step 5: Solve for x
   x = 34,427,556.25/3,839
6. Step 6: Final answer
   x = 8,967.84