Finding the Third Proportional to 16,856 and 25,516

Step by Step Solution

1. Step 1: Write the proportion equation
   16,856 : 25,516 = 25,516 : x
2. Step 2: Convert to fraction form
   16,856/25,516 = 25,516/x
3. Step 3: Cross multiply
   16,856x = 25,516 × 25,516
4. Step 4: Simplify right side
   16,856x = 651,066,256
5. Step 5: Solve for x
   x = 651,066,256/16,856
6. Step 6: Final answer
   x = 38,625.19