Finding the Third Proportional to 5,856 and 9,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,856 : 9,100.50 = 9,100.50 : x
2. Step 2: Convert to fraction form
   5,856/9,100.50 = 9,100.50/x
3. Step 3: Cross multiply
   5,856x = 9,100.50 × 9,100.50
4. Step 4: Simplify right side
   5,856x = 82,819,100.25
5. Step 5: Solve for x
   x = 82,819,100.25/5,856
6. Step 6: Final answer
   x = 14,142.61