Finding the Third Proportional to 4,729.64 and 10,288.27

Step by Step Solution

1. Step 1: Write the proportion equation
   4,729.64 : 10,288.27 = 10,288.27 : x
2. Step 2: Convert to fraction form
   4,729.64/10,288.27 = 10,288.27/x
3. Step 3: Cross multiply
   4,729.64x = 10,288.27 × 10,288.27
4. Step 4: Simplify right side
   4,729.64x = 105,848,409.57
5. Step 5: Solve for x
   x = 105,848,409.57/4,729.64
6. Step 6: Final answer
   x = 22,379.80