Finding the Third Proportional to 12,174 and 17,265

Step by Step Solution

1. Step 1: Write the proportion equation
   12,174 : 17,265 = 17,265 : x
2. Step 2: Convert to fraction form
   12,174/17,265 = 17,265/x
3. Step 3: Cross multiply
   12,174x = 17,265 × 17,265
4. Step 4: Simplify right side
   12,174x = 298,080,225
5. Step 5: Solve for x
   x = 298,080,225/12,174
6. Step 6: Final answer
   x = 24,484.99