Finding the Third Proportional to 2,011.50 and 2,187

Step by Step Solution

1. Step 1: Write the proportion equation
   2,011.50 : 2,187 = 2,187 : x
2. Step 2: Convert to fraction form
   2,011.50/2,187 = 2,187/x
3. Step 3: Cross multiply
   2,011.50x = 2,187 × 2,187
4. Step 4: Simplify right side
   2,011.50x = 4,782,969
5. Step 5: Solve for x
   x = 4,782,969/2,011.50
6. Step 6: Final answer
   x = 2,377.81