Finding the Third Proportional to 16,094 and 21,842

Step by Step Solution

1. Step 1: Write the proportion equation
   16,094 : 21,842 = 21,842 : x
2. Step 2: Convert to fraction form
   16,094/21,842 = 21,842/x
3. Step 3: Cross multiply
   16,094x = 21,842 × 21,842
4. Step 4: Simplify right side
   16,094x = 477,072,964
5. Step 5: Solve for x
   x = 477,072,964/16,094
6. Step 6: Final answer
   x = 29,642.91