Finding the Third Proportional to 4,758.75 and 7,441.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,758.75 : 7,441.88 = 7,441.88 : x
2. Step 2: Convert to fraction form
   4,758.75/7,441.88 = 7,441.88/x
3. Step 3: Cross multiply
   4,758.75x = 7,441.88 × 7,441.88
4. Step 4: Simplify right side
   4,758.75x = 55,381,503.52
5. Step 5: Solve for x
   x = 55,381,503.52/4,758.75
6. Step 6: Final answer
   x = 11,637.83