Finding the Third Proportional to 16,194 and 33,840

Step by Step Solution

1. Step 1: Write the proportion equation
   16,194 : 33,840 = 33,840 : x
2. Step 2: Convert to fraction form
   16,194/33,840 = 33,840/x
3. Step 3: Cross multiply
   16,194x = 33,840 × 33,840
4. Step 4: Simplify right side
   16,194x = 1,145,145,600
5. Step 5: Solve for x
   x = 1,145,145,600/16,194
6. Step 6: Final answer
   x = 70,714.19