Finding the Third Proportional to 8,092.33 and 12,314.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,092.33 : 12,314.69 = 12,314.69 : x
2. Step 2: Convert to fraction form
   8,092.33/12,314.69 = 12,314.69/x
3. Step 3: Cross multiply
   8,092.33x = 12,314.69 × 12,314.69
4. Step 4: Simplify right side
   8,092.33x = 151,651,576.33
5. Step 5: Solve for x
   x = 151,651,576.33/8,092.33
6. Step 6: Final answer
   x = 18,740.17