Finding the Third Proportional to 7,626 and 13,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,626 : 13,591.50 = 13,591.50 : x
2. Step 2: Convert to fraction form
   7,626/13,591.50 = 13,591.50/x
3. Step 3: Cross multiply
   7,626x = 13,591.50 × 13,591.50
4. Step 4: Simplify right side
   7,626x = 184,728,872.25
5. Step 5: Solve for x
   x = 184,728,872.25/7,626
6. Step 6: Final answer
   x = 24,223.56