Finding the Third Proportional to 782.16 and 1,141.31

Step by Step Solution

1. Step 1: Write the proportion equation
   782.16 : 1,141.31 = 1,141.31 : x
2. Step 2: Convert to fraction form
   782.16/1,141.31 = 1,141.31/x
3. Step 3: Cross multiply
   782.16x = 1,141.31 × 1,141.31
4. Step 4: Simplify right side
   782.16x = 1,302,594.22
5. Step 5: Solve for x
   x = 1,302,594.22/782.16
6. Step 6: Final answer
   x = 1,665.39