Finding the Third Proportional to 5,817.76 and 8,225.46

Step by Step Solution

1. Step 1: Write the proportion equation
   5,817.76 : 8,225.46 = 8,225.46 : x
2. Step 2: Convert to fraction form
   5,817.76/8,225.46 = 8,225.46/x
3. Step 3: Cross multiply
   5,817.76x = 8,225.46 × 8,225.46
4. Step 4: Simplify right side
   5,817.76x = 67,658,111.24
5. Step 5: Solve for x
   x = 67,658,111.24/5,817.76
6. Step 6: Final answer
   x = 11,629.58