Finding the Third Proportional to 8,833.22 and 10,234.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,833.22 : 10,234.69 = 10,234.69 : x
2. Step 2: Convert to fraction form
   8,833.22/10,234.69 = 10,234.69/x
3. Step 3: Cross multiply
   8,833.22x = 10,234.69 × 10,234.69
4. Step 4: Simplify right side
   8,833.22x = 104,748,828.22
5. Step 5: Solve for x
   x = 104,748,828.22/8,833.22
6. Step 6: Final answer
   x = 11,858.51