Finding the Third Proportional to 16,178 and 21,739

Step by Step Solution

1. Step 1: Write the proportion equation
   16,178 : 21,739 = 21,739 : x
2. Step 2: Convert to fraction form
   16,178/21,739 = 21,739/x
3. Step 3: Cross multiply
   16,178x = 21,739 × 21,739
4. Step 4: Simplify right side
   16,178x = 472,584,121
5. Step 5: Solve for x
   x = 472,584,121/16,178
6. Step 6: Final answer
   x = 29,211.53