Finding the Third Proportional to 10,820 and 13,894

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820 : 13,894 = 13,894 : x
2. Step 2: Convert to fraction form
   10,820/13,894 = 13,894/x
3. Step 3: Cross multiply
   10,820x = 13,894 × 13,894
4. Step 4: Simplify right side
   10,820x = 193,043,236
5. Step 5: Solve for x
   x = 193,043,236/10,820
6. Step 6: Final answer
   x = 17,841.33