Finding the Third Proportional to 5,877 and 9,443.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,877 : 9,443.25 = 9,443.25 : x
2. Step 2: Convert to fraction form
   5,877/9,443.25 = 9,443.25/x
3. Step 3: Cross multiply
   5,877x = 9,443.25 × 9,443.25
4. Step 4: Simplify right side
   5,877x = 89,174,970.56
5. Step 5: Solve for x
   x = 89,174,970.56/5,877
6. Step 6: Final answer
   x = 15,173.55