Finding the Third Proportional to 2,187 and 2,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,187 : 2,808.50 = 2,808.50 : x
2. Step 2: Convert to fraction form
   2,187/2,808.50 = 2,808.50/x
3. Step 3: Cross multiply
   2,187x = 2,808.50 × 2,808.50
4. Step 4: Simplify right side
   2,187x = 7,887,672.25
5. Step 5: Solve for x
   x = 7,887,672.25/2,187
6. Step 6: Final answer
   x = 3,606.62