Finding the Third Proportional to 781.69 and 1,707.56

Step by Step Solution

1. Step 1: Write the proportion equation
   781.69 : 1,707.56 = 1,707.56 : x
2. Step 2: Convert to fraction form
   781.69/1,707.56 = 1,707.56/x
3. Step 3: Cross multiply
   781.69x = 1,707.56 × 1,707.56
4. Step 4: Simplify right side
   781.69x = 2,915,769.69
5. Step 5: Solve for x
   x = 2,915,769.69/781.69
6. Step 6: Final answer
   x = 3,730.10