Finding the Third Proportional to 2,178 and 3,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178 : 3,175.50 = 3,175.50 : x
2. Step 2: Convert to fraction form
   2,178/3,175.50 = 3,175.50/x
3. Step 3: Cross multiply
   2,178x = 3,175.50 × 3,175.50
4. Step 4: Simplify right side
   2,178x = 10,083,800.25
5. Step 5: Solve for x
   x = 10,083,800.25/2,178
6. Step 6: Final answer
   x = 4,629.84