Finding the Third Proportional to 5,896 and 9,150

Step by Step Solution

1. Step 1: Write the proportion equation
   5,896 : 9,150 = 9,150 : x
2. Step 2: Convert to fraction form
   5,896/9,150 = 9,150/x
3. Step 3: Cross multiply
   5,896x = 9,150 × 9,150
4. Step 4: Simplify right side
   5,896x = 83,722,500
5. Step 5: Solve for x
   x = 83,722,500/5,896
6. Step 6: Final answer
   x = 14,199.88