Finding the Third Proportional to 11,796 and 16,070

Step by Step Solution

1. Step 1: Write the proportion equation
   11,796 : 16,070 = 16,070 : x
2. Step 2: Convert to fraction form
   11,796/16,070 = 16,070/x
3. Step 3: Cross multiply
   11,796x = 16,070 × 16,070
4. Step 4: Simplify right side
   11,796x = 258,244,900
5. Step 5: Solve for x
   x = 258,244,900/11,796
6. Step 6: Final answer
   x = 21,892.58