Finding the Third Proportional to 16,174 and 34,292

Step by Step Solution

1. Step 1: Write the proportion equation
   16,174 : 34,292 = 34,292 : x
2. Step 2: Convert to fraction form
   16,174/34,292 = 34,292/x
3. Step 3: Cross multiply
   16,174x = 34,292 × 34,292
4. Step 4: Simplify right side
   16,174x = 1,175,941,264
5. Step 5: Solve for x
   x = 1,175,941,264/16,174
6. Step 6: Final answer
   x = 72,705.66