Finding the Third Proportional to 16,856 and 25,283.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,856 : 25,283.50 = 25,283.50 : x
2. Step 2: Convert to fraction form
   16,856/25,283.50 = 25,283.50/x
3. Step 3: Cross multiply
   16,856x = 25,283.50 × 25,283.50
4. Step 4: Simplify right side
   16,856x = 639,255,372.25
5. Step 5: Solve for x
   x = 639,255,372.25/16,856
6. Step 6: Final answer
   x = 37,924.50