Finding the Third Proportional to 1,188 and 2,088

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188 : 2,088 = 2,088 : x
2. Step 2: Convert to fraction form
   1,188/2,088 = 2,088/x
3. Step 3: Cross multiply
   1,188x = 2,088 × 2,088
4. Step 4: Simplify right side
   1,188x = 4,359,744
5. Step 5: Solve for x
   x = 4,359,744/1,188
6. Step 6: Final answer
   x = 3,669.82