Finding the Third Proportional to 21,738 and 34,457

Step by Step Solution

1. Step 1: Write the proportion equation
   21,738 : 34,457 = 34,457 : x
2. Step 2: Convert to fraction form
   21,738/34,457 = 34,457/x
3. Step 3: Cross multiply
   21,738x = 34,457 × 34,457
4. Step 4: Simplify right side
   21,738x = 1,187,284,849
5. Step 5: Solve for x
   x = 1,187,284,849/21,738
6. Step 6: Final answer
   x = 54,617.94