Finding the Third Proportional to 3,789.56 and 7,733.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,789.56 : 7,733.25 = 7,733.25 : x
2. Step 2: Convert to fraction form
   3,789.56/7,733.25 = 7,733.25/x
3. Step 3: Cross multiply
   3,789.56x = 7,733.25 × 7,733.25
4. Step 4: Simplify right side
   3,789.56x = 59,803,155.56
5. Step 5: Solve for x
   x = 59,803,155.56/3,789.56
6. Step 6: Final answer
   x = 15,781.02