Finding the Third Proportional to 10,340 and 13,566

Step by Step Solution

1. Step 1: Write the proportion equation
   10,340 : 13,566 = 13,566 : x
2. Step 2: Convert to fraction form
   10,340/13,566 = 13,566/x
3. Step 3: Cross multiply
   10,340x = 13,566 × 13,566
4. Step 4: Simplify right side
   10,340x = 184,036,356
5. Step 5: Solve for x
   x = 184,036,356/10,340
6. Step 6: Final answer
   x = 17,798.49