Finding the Third Proportional to 1,086 and 2,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086 : 2,329.50 = 2,329.50 : x
2. Step 2: Convert to fraction form
   1,086/2,329.50 = 2,329.50/x
3. Step 3: Cross multiply
   1,086x = 2,329.50 × 2,329.50
4. Step 4: Simplify right side
   1,086x = 5,426,570.25
5. Step 5: Solve for x
   x = 5,426,570.25/1,086
6. Step 6: Final answer
   x = 4,996.84