Finding the Third Proportional to 4,777.50 and 7,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,777.50 : 7,168.50 = 7,168.50 : x
2. Step 2: Convert to fraction form
   4,777.50/7,168.50 = 7,168.50/x
3. Step 3: Cross multiply
   4,777.50x = 7,168.50 × 7,168.50
4. Step 4: Simplify right side
   4,777.50x = 51,387,392.25
5. Step 5: Solve for x
   x = 51,387,392.25/4,777.50
6. Step 6: Final answer
   x = 10,756.13