Finding the Third Proportional to 1,101.75 and 1,707.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.75 : 1,707.38 = 1,707.38 : x
2. Step 2: Convert to fraction form
   1,101.75/1,707.38 = 1,707.38/x
3. Step 3: Cross multiply
   1,101.75x = 1,707.38 × 1,707.38
4. Step 4: Simplify right side
   1,101.75x = 2,915,129.39
5. Step 5: Solve for x
   x = 2,915,129.39/1,101.75
6. Step 6: Final answer
   x = 2,645.91