Finding the Third Proportional to 2,377.50 and 5,187

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.50 : 5,187 = 5,187 : x
2. Step 2: Convert to fraction form
   2,377.50/5,187 = 5,187/x
3. Step 3: Cross multiply
   2,377.50x = 5,187 × 5,187
4. Step 4: Simplify right side
   2,377.50x = 26,904,969
5. Step 5: Solve for x
   x = 26,904,969/2,377.50
6. Step 6: Final answer
   x = 11,316.50