Finding the Third Proportional to 782.72 and 1,840.78

Step by Step Solution

1. Step 1: Write the proportion equation
   782.72 : 1,840.78 = 1,840.78 : x
2. Step 2: Convert to fraction form
   782.72/1,840.78 = 1,840.78/x
3. Step 3: Cross multiply
   782.72x = 1,840.78 × 1,840.78
4. Step 4: Simplify right side
   782.72x = 3,388,475.61
5. Step 5: Solve for x
   x = 3,388,475.61/782.72
6. Step 6: Final answer
   x = 4,329.11