Finding the Third Proportional to 775.69 and 1,672.88

Step by Step Solution

1. Step 1: Write the proportion equation
   775.69 : 1,672.88 = 1,672.88 : x
2. Step 2: Convert to fraction form
   775.69/1,672.88 = 1,672.88/x
3. Step 3: Cross multiply
   775.69x = 1,672.88 × 1,672.88
4. Step 4: Simplify right side
   775.69x = 2,798,510.77
5. Step 5: Solve for x
   x = 2,798,510.77/775.69
6. Step 6: Final answer
   x = 3,607.78