Finding the Third Proportional to 16,126 and 25,653

Step by Step Solution

1. Step 1: Write the proportion equation
   16,126 : 25,653 = 25,653 : x
2. Step 2: Convert to fraction form
   16,126/25,653 = 25,653/x
3. Step 3: Cross multiply
   16,126x = 25,653 × 25,653
4. Step 4: Simplify right side
   16,126x = 658,076,409
5. Step 5: Solve for x
   x = 658,076,409/16,126
6. Step 6: Final answer
   x = 40,808.41