Finding the Third Proportional to 8,114 and 17,460

Step by Step Solution

1. Step 1: Write the proportion equation
   8,114 : 17,460 = 17,460 : x
2. Step 2: Convert to fraction form
   8,114/17,460 = 17,460/x
3. Step 3: Cross multiply
   8,114x = 17,460 × 17,460
4. Step 4: Simplify right side
   8,114x = 304,851,600
5. Step 5: Solve for x
   x = 304,851,600/8,114
6. Step 6: Final answer
   x = 37,571.06