Finding the Third Proportional to 10,256.50 and 13,922

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.50 : 13,922 = 13,922 : x
2. Step 2: Convert to fraction form
   10,256.50/13,922 = 13,922/x
3. Step 3: Cross multiply
   10,256.50x = 13,922 × 13,922
4. Step 4: Simplify right side
   10,256.50x = 193,822,084
5. Step 5: Solve for x
   x = 193,822,084/10,256.50
6. Step 6: Final answer
   x = 18,897.49