Finding the Third Proportional to 9,117 and 13,863

Step by Step Solution

1. Step 1: Write the proportion equation
   9,117 : 13,863 = 13,863 : x
2. Step 2: Convert to fraction form
   9,117/13,863 = 13,863/x
3. Step 3: Cross multiply
   9,117x = 13,863 × 13,863
4. Step 4: Simplify right side
   9,117x = 192,182,769
5. Step 5: Solve for x
   x = 192,182,769/9,117
6. Step 6: Final answer
   x = 21,079.61