Finding the Third Proportional to 10,370 and 13,971

Step by Step Solution

1. Step 1: Write the proportion equation
   10,370 : 13,971 = 13,971 : x
2. Step 2: Convert to fraction form
   10,370/13,971 = 13,971/x
3. Step 3: Cross multiply
   10,370x = 13,971 × 13,971
4. Step 4: Simplify right side
   10,370x = 195,188,841
5. Step 5: Solve for x
   x = 195,188,841/10,370
6. Step 6: Final answer
   x = 18,822.45