Finding the Third Proportional to 16,678 and 25,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,678 : 25,138.50 = 25,138.50 : x
2. Step 2: Convert to fraction form
   16,678/25,138.50 = 25,138.50/x
3. Step 3: Cross multiply
   16,678x = 25,138.50 × 25,138.50
4. Step 4: Simplify right side
   16,678x = 631,944,182.25
5. Step 5: Solve for x
   x = 631,944,182.25/16,678
6. Step 6: Final answer
   x = 37,890.89