Finding the Third Proportional to 1,163 and 1,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,163 : 1,928.50 = 1,928.50 : x
2. Step 2: Convert to fraction form
   1,163/1,928.50 = 1,928.50/x
3. Step 3: Cross multiply
   1,163x = 1,928.50 × 1,928.50
4. Step 4: Simplify right side
   1,163x = 3,719,112.25
5. Step 5: Solve for x
   x = 3,719,112.25/1,163
6. Step 6: Final answer
   x = 3,197.86