Finding the Third Proportional to 8,506 and 13,140

Step by Step Solution

1. Step 1: Write the proportion equation
   8,506 : 13,140 = 13,140 : x
2. Step 2: Convert to fraction form
   8,506/13,140 = 13,140/x
3. Step 3: Cross multiply
   8,506x = 13,140 × 13,140
4. Step 4: Simplify right side
   8,506x = 172,659,600
5. Step 5: Solve for x
   x = 172,659,600/8,506
6. Step 6: Final answer
   x = 20,298.57