Finding the Third Proportional to 23,768 and 51,642

Step by Step Solution

1. Step 1: Write the proportion equation
   23,768 : 51,642 = 51,642 : x
2. Step 2: Convert to fraction form
   23,768/51,642 = 51,642/x
3. Step 3: Cross multiply
   23,768x = 51,642 × 51,642
4. Step 4: Simplify right side
   23,768x = 2,666,896,164
5. Step 5: Solve for x
   x = 2,666,896,164/23,768
6. Step 6: Final answer
   x = 112,205.32