Finding the Third Proportional to 5,962.78 and 14,608.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,962.78 : 14,608.69 = 14,608.69 : x
2. Step 2: Convert to fraction form
   5,962.78/14,608.69 = 14,608.69/x
3. Step 3: Cross multiply
   5,962.78x = 14,608.69 × 14,608.69
4. Step 4: Simplify right side
   5,962.78x = 213,413,750.47
5. Step 5: Solve for x
   x = 213,413,750.47/5,962.78
6. Step 6: Final answer
   x = 35,790.97