Finding the Third Proportional to 8,506 and 12,940

Step by Step Solution

1. Step 1: Write the proportion equation
   8,506 : 12,940 = 12,940 : x
2. Step 2: Convert to fraction form
   8,506/12,940 = 12,940/x
3. Step 3: Cross multiply
   8,506x = 12,940 × 12,940
4. Step 4: Simplify right side
   8,506x = 167,443,600
5. Step 5: Solve for x
   x = 167,443,600/8,506
6. Step 6: Final answer
   x = 19,685.35