Finding the Third Proportional to 4,786.50 and 10,188.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,786.50 : 10,188.75 = 10,188.75 : x
2. Step 2: Convert to fraction form
   4,786.50/10,188.75 = 10,188.75/x
3. Step 3: Cross multiply
   4,786.50x = 10,188.75 × 10,188.75
4. Step 4: Simplify right side
   4,786.50x = 103,810,626.56
5. Step 5: Solve for x
   x = 103,810,626.56/4,786.50
6. Step 6: Final answer
   x = 21,688.21