Finding the Third Proportional to 21,820 and 46,772

Step by Step Solution

1. Step 1: Write the proportion equation
   21,820 : 46,772 = 46,772 : x
2. Step 2: Convert to fraction form
   21,820/46,772 = 46,772/x
3. Step 3: Cross multiply
   21,820x = 46,772 × 46,772
4. Step 4: Simplify right side
   21,820x = 2,187,619,984
5. Step 5: Solve for x
   x = 2,187,619,984/21,820
6. Step 6: Final answer
   x = 100,257.56