Finding the Third Proportional to 4,707.75 and 10,234.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,707.75 : 10,234.69 = 10,234.69 : x
2. Step 2: Convert to fraction form
   4,707.75/10,234.69 = 10,234.69/x
3. Step 3: Cross multiply
   4,707.75x = 10,234.69 × 10,234.69
4. Step 4: Simplify right side
   4,707.75x = 104,748,828.22
5. Step 5: Solve for x
   x = 104,748,828.22/4,707.75
6. Step 6: Final answer
   x = 22,250.30