Finding the Third Proportional to 2,789 and 4,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,789 : 4,463.50 = 4,463.50 : x
2. Step 2: Convert to fraction form
   2,789/4,463.50 = 4,463.50/x
3. Step 3: Cross multiply
   2,789x = 4,463.50 × 4,463.50
4. Step 4: Simplify right side
   2,789x = 19,922,832.25
5. Step 5: Solve for x
   x = 19,922,832.25/2,789
6. Step 6: Final answer
   x = 7,143.36