Finding the Third Proportional to 8,460 and 13,510

Step by Step Solution

1. Step 1: Write the proportion equation
   8,460 : 13,510 = 13,510 : x
2. Step 2: Convert to fraction form
   8,460/13,510 = 13,510/x
3. Step 3: Cross multiply
   8,460x = 13,510 × 13,510
4. Step 4: Simplify right side
   8,460x = 182,520,100
5. Step 5: Solve for x
   x = 182,520,100/8,460
6. Step 6: Final answer
   x = 21,574.48