Finding the Third Proportional to 10,740 and 22,896

Step by Step Solution

1. Step 1: Write the proportion equation
   10,740 : 22,896 = 22,896 : x
2. Step 2: Convert to fraction form
   10,740/22,896 = 22,896/x
3. Step 3: Cross multiply
   10,740x = 22,896 × 22,896
4. Step 4: Simplify right side
   10,740x = 524,226,816
5. Step 5: Solve for x
   x = 524,226,816/10,740
6. Step 6: Final answer
   x = 48,810.69