Finding the Third Proportional to 1,222.38 and 1,660.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.38 : 1,660.75 = 1,660.75 : x
2. Step 2: Convert to fraction form
   1,222.38/1,660.75 = 1,660.75/x
3. Step 3: Cross multiply
   1,222.38x = 1,660.75 × 1,660.75
4. Step 4: Simplify right side
   1,222.38x = 2,758,090.56
5. Step 5: Solve for x
   x = 2,758,090.56/1,222.38
6. Step 6: Final answer
   x = 2,256.34