Finding the Third Proportional to 16,624 and 25,096

Step by Step Solution

1. Step 1: Write the proportion equation
   16,624 : 25,096 = 25,096 : x
2. Step 2: Convert to fraction form
   16,624/25,096 = 25,096/x
3. Step 3: Cross multiply
   16,624x = 25,096 × 25,096
4. Step 4: Simplify right side
   16,624x = 629,809,216
5. Step 5: Solve for x
   x = 629,809,216/16,624
6. Step 6: Final answer
   x = 37,885.54