Finding the Third Proportional to 8,140 and 13,074

Step by Step Solution

1. Step 1: Write the proportion equation
   8,140 : 13,074 = 13,074 : x
2. Step 2: Convert to fraction form
   8,140/13,074 = 13,074/x
3. Step 3: Cross multiply
   8,140x = 13,074 × 13,074
4. Step 4: Simplify right side
   8,140x = 170,929,476
5. Step 5: Solve for x
   x = 170,929,476/8,140
6. Step 6: Final answer
   x = 20,998.71