Finding the Third Proportional to 5,818.50 and 8,624.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,818.50 : 8,624.25 = 8,624.25 : x
2. Step 2: Convert to fraction form
   5,818.50/8,624.25 = 8,624.25/x
3. Step 3: Cross multiply
   5,818.50x = 8,624.25 × 8,624.25
4. Step 4: Simplify right side
   5,818.50x = 74,377,688.06
5. Step 5: Solve for x
   x = 74,377,688.06/5,818.50
6. Step 6: Final answer
   x = 12,782.97