Finding the Third Proportional to 1,021.88 and 1,188.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,021.88 : 1,188.94 = 1,188.94 : x
2. Step 2: Convert to fraction form
   1,021.88/1,188.94 = 1,188.94/x
3. Step 3: Cross multiply
   1,021.88x = 1,188.94 × 1,188.94
4. Step 4: Simplify right side
   1,021.88x = 1,413,572.38
5. Step 5: Solve for x
   x = 1,413,572.38/1,021.88
6. Step 6: Final answer
   x = 1,383.31