Finding the Third Proportional to 5,354.25 and 8,001.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,354.25 : 8,001.38 = 8,001.38 : x
2. Step 2: Convert to fraction form
   5,354.25/8,001.38 = 8,001.38/x
3. Step 3: Cross multiply
   5,354.25x = 8,001.38 × 8,001.38
4. Step 4: Simplify right side
   5,354.25x = 64,022,001.89
5. Step 5: Solve for x
   x = 64,022,001.89/5,354.25
6. Step 6: Final answer
   x = 11,957.23