Finding the Third Proportional to 16,179 and 34,301

Step by Step Solution

1. Step 1: Write the proportion equation
   16,179 : 34,301 = 34,301 : x
2. Step 2: Convert to fraction form
   16,179/34,301 = 34,301/x
3. Step 3: Cross multiply
   16,179x = 34,301 × 34,301
4. Step 4: Simplify right side
   16,179x = 1,176,558,601
5. Step 5: Solve for x
   x = 1,176,558,601/16,179
6. Step 6: Final answer
   x = 72,721.34