Finding the Third Proportional to 5,426 and 7,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,426 : 7,371.50 = 7,371.50 : x
2. Step 2: Convert to fraction form
   5,426/7,371.50 = 7,371.50/x
3. Step 3: Cross multiply
   5,426x = 7,371.50 × 7,371.50
4. Step 4: Simplify right side
   5,426x = 54,339,012.25
5. Step 5: Solve for x
   x = 54,339,012.25/5,426
6. Step 6: Final answer
   x = 10,014.56