Finding the Third Proportional to 17,623 and 25,462

Step by Step Solution

1. Step 1: Write the proportion equation
   17,623 : 25,462 = 25,462 : x
2. Step 2: Convert to fraction form
   17,623/25,462 = 25,462/x
3. Step 3: Cross multiply
   17,623x = 25,462 × 25,462
4. Step 4: Simplify right side
   17,623x = 648,313,444
5. Step 5: Solve for x
   x = 648,313,444/17,623
6. Step 6: Final answer
   x = 36,787.92