Finding the Third Proportional to 4,663.50 and 5,928.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,663.50 : 5,928.75 = 5,928.75 : x
2. Step 2: Convert to fraction form
   4,663.50/5,928.75 = 5,928.75/x
3. Step 3: Cross multiply
   4,663.50x = 5,928.75 × 5,928.75
4. Step 4: Simplify right side
   4,663.50x = 35,150,076.56
5. Step 5: Solve for x
   x = 35,150,076.56/4,663.50
6. Step 6: Final answer
   x = 7,537.27