Finding the Third Proportional to 4,776.75 and 7,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,776.75 : 7,429.50 = 7,429.50 : x
2. Step 2: Convert to fraction form
   4,776.75/7,429.50 = 7,429.50/x
3. Step 3: Cross multiply
   4,776.75x = 7,429.50 × 7,429.50
4. Step 4: Simplify right side
   4,776.75x = 55,197,470.25
5. Step 5: Solve for x
   x = 55,197,470.25/4,776.75
6. Step 6: Final answer
   x = 11,555.44