Finding the Third Proportional to 3,875 and 5,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,875 : 5,928.50 = 5,928.50 : x
2. Step 2: Convert to fraction form
   3,875/5,928.50 = 5,928.50/x
3. Step 3: Cross multiply
   3,875x = 5,928.50 × 5,928.50
4. Step 4: Simplify right side
   3,875x = 35,147,112.25
5. Step 5: Solve for x
   x = 35,147,112.25/3,875
6. Step 6: Final answer
   x = 9,070.22