Finding the Third Proportional to 10,022.50 and 14,768

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.50 : 14,768 = 14,768 : x
2. Step 2: Convert to fraction form
   10,022.50/14,768 = 14,768/x
3. Step 3: Cross multiply
   10,022.50x = 14,768 × 14,768
4. Step 4: Simplify right side
   10,022.50x = 218,093,824
5. Step 5: Solve for x
   x = 218,093,824/10,022.50
6. Step 6: Final answer
   x = 21,760.42