Finding the Third Proportional to 8,540 and 17,506

Step by Step Solution

1. Step 1: Write the proportion equation
   8,540 : 17,506 = 17,506 : x
2. Step 2: Convert to fraction form
   8,540/17,506 = 17,506/x
3. Step 3: Cross multiply
   8,540x = 17,506 × 17,506
4. Step 4: Simplify right side
   8,540x = 306,460,036
5. Step 5: Solve for x
   x = 306,460,036/8,540
6. Step 6: Final answer
   x = 35,885.25