Finding the Third Proportional to 782.25 and 1,149.38

Step by Step Solution

1. Step 1: Write the proportion equation
   782.25 : 1,149.38 = 1,149.38 : x
2. Step 2: Convert to fraction form
   782.25/1,149.38 = 1,149.38/x
3. Step 3: Cross multiply
   782.25x = 1,149.38 × 1,149.38
4. Step 4: Simplify right side
   782.25x = 1,321,062.89
5. Step 5: Solve for x
   x = 1,321,062.89/782.25
6. Step 6: Final answer
   x = 1,688.80