Finding the Third Proportional to 5,834.25 and 8,501.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,834.25 : 8,501.25 = 8,501.25 : x
2. Step 2: Convert to fraction form
   5,834.25/8,501.25 = 8,501.25/x
3. Step 3: Cross multiply
   5,834.25x = 8,501.25 × 8,501.25
4. Step 4: Simplify right side
   5,834.25x = 72,271,251.56
5. Step 5: Solve for x
   x = 72,271,251.56/5,834.25
6. Step 6: Final answer
   x = 12,387.41