Finding the Third Proportional to 10,033.50 and 21,933.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,033.50 : 21,933.75 = 21,933.75 : x
2. Step 2: Convert to fraction form
   10,033.50/21,933.75 = 21,933.75/x
3. Step 3: Cross multiply
   10,033.50x = 21,933.75 × 21,933.75
4. Step 4: Simplify right side
   10,033.50x = 481,089,389.06
5. Step 5: Solve for x
   x = 481,089,389.06/10,033.50
6. Step 6: Final answer
   x = 47,948.31