Finding the Third Proportional to 10,681 and 12,157

Step by Step Solution

1. Step 1: Write the proportion equation
   10,681 : 12,157 = 12,157 : x
2. Step 2: Convert to fraction form
   10,681/12,157 = 12,157/x
3. Step 3: Cross multiply
   10,681x = 12,157 × 12,157
4. Step 4: Simplify right side
   10,681x = 147,792,649
5. Step 5: Solve for x
   x = 147,792,649/10,681
6. Step 6: Final answer
   x = 13,836.97