Finding the Third Proportional to 775.69 and 1,688.16

Step by Step Solution

1. Step 1: Write the proportion equation
   775.69 : 1,688.16 = 1,688.16 : x
2. Step 2: Convert to fraction form
   775.69/1,688.16 = 1,688.16/x
3. Step 3: Cross multiply
   775.69x = 1,688.16 × 1,688.16
4. Step 4: Simplify right side
   775.69x = 2,849,871.52
5. Step 5: Solve for x
   x = 2,849,871.52/775.69
6. Step 6: Final answer
   x = 3,673.99