Finding the Third Proportional to 1,007 and 1,100

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007 : 1,100 = 1,100 : x
2. Step 2: Convert to fraction form
   1,007/1,100 = 1,100/x
3. Step 3: Cross multiply
   1,007x = 1,100 × 1,100
4. Step 4: Simplify right side
   1,007x = 1,210,000
5. Step 5: Solve for x
   x = 1,210,000/1,007
6. Step 6: Final answer
   x = 1,201.59