Finding the Third Proportional to 7,107.75 and 8,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,107.75 : 8,626.50 = 8,626.50 : x
2. Step 2: Convert to fraction form
   7,107.75/8,626.50 = 8,626.50/x
3. Step 3: Cross multiply
   7,107.75x = 8,626.50 × 8,626.50
4. Step 4: Simplify right side
   7,107.75x = 74,416,502.25
5. Step 5: Solve for x
   x = 74,416,502.25/7,107.75
6. Step 6: Final answer
   x = 10,469.77