Finding the Third Proportional to 4,933.50 and 10,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,933.50 : 10,777.50 = 10,777.50 : x
2. Step 2: Convert to fraction form
   4,933.50/10,777.50 = 10,777.50/x
3. Step 3: Cross multiply
   4,933.50x = 10,777.50 × 10,777.50
4. Step 4: Simplify right side
   4,933.50x = 116,154,506.25
5. Step 5: Solve for x
   x = 116,154,506.25/4,933.50
6. Step 6: Final answer
   x = 23,544.04