Finding the Third Proportional to 2,350 and 5,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,350 : 5,185.50 = 5,185.50 : x
2. Step 2: Convert to fraction form
   2,350/5,185.50 = 5,185.50/x
3. Step 3: Cross multiply
   2,350x = 5,185.50 × 5,185.50
4. Step 4: Simplify right side
   2,350x = 26,889,410.25
5. Step 5: Solve for x
   x = 26,889,410.25/2,350
6. Step 6: Final answer
   x = 11,442.30