Finding the Third Proportional to 2,789.50 and 6,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,789.50 : 6,064.50 = 6,064.50 : x
2. Step 2: Convert to fraction form
   2,789.50/6,064.50 = 6,064.50/x
3. Step 3: Cross multiply
   2,789.50x = 6,064.50 × 6,064.50
4. Step 4: Simplify right side
   2,789.50x = 36,778,160.25
5. Step 5: Solve for x
   x = 36,778,160.25/2,789.50
6. Step 6: Final answer
   x = 13,184.50