Finding the Third Proportional to 10,971 and 16,046

Step by Step Solution

1. Step 1: Write the proportion equation
   10,971 : 16,046 = 16,046 : x
2. Step 2: Convert to fraction form
   10,971/16,046 = 16,046/x
3. Step 3: Cross multiply
   10,971x = 16,046 × 16,046
4. Step 4: Simplify right side
   10,971x = 257,474,116
5. Step 5: Solve for x
   x = 257,474,116/10,971
6. Step 6: Final answer
   x = 23,468.61