Finding the Third Proportional to 3,746.50 and 5,788.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,746.50 : 5,788.75 = 5,788.75 : x
2. Step 2: Convert to fraction form
   3,746.50/5,788.75 = 5,788.75/x
3. Step 3: Cross multiply
   3,746.50x = 5,788.75 × 5,788.75
4. Step 4: Simplify right side
   3,746.50x = 33,509,626.56
5. Step 5: Solve for x
   x = 33,509,626.56/3,746.50
6. Step 6: Final answer
   x = 8,944.25