Finding the Third Proportional to 10,518 and 13,641

Step by Step Solution

1. Step 1: Write the proportion equation
   10,518 : 13,641 = 13,641 : x
2. Step 2: Convert to fraction form
   10,518/13,641 = 13,641/x
3. Step 3: Cross multiply
   10,518x = 13,641 × 13,641
4. Step 4: Simplify right side
   10,518x = 186,076,881
5. Step 5: Solve for x
   x = 186,076,881/10,518
6. Step 6: Final answer
   x = 17,691.28