Finding the Third Proportional to 1,108.69 and 1,690.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,108.69 : 1,690.56 = 1,690.56 : x
2. Step 2: Convert to fraction form
   1,108.69/1,690.56 = 1,690.56/x
3. Step 3: Cross multiply
   1,108.69x = 1,690.56 × 1,690.56
4. Step 4: Simplify right side
   1,108.69x = 2,857,988.36
5. Step 5: Solve for x
   x = 2,857,988.36/1,108.69
6. Step 6: Final answer
   x = 2,577.81