Finding the Third Proportional to 1,188 and 2,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188 : 2,020.50 = 2,020.50 : x
2. Step 2: Convert to fraction form
   1,188/2,020.50 = 2,020.50/x
3. Step 3: Cross multiply
   1,188x = 2,020.50 × 2,020.50
4. Step 4: Simplify right side
   1,188x = 4,082,420.25
5. Step 5: Solve for x
   x = 4,082,420.25/1,188
6. Step 6: Final answer
   x = 3,436.38