Finding the Third Proportional to 10,077 and 14,157

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077 : 14,157 = 14,157 : x
2. Step 2: Convert to fraction form
   10,077/14,157 = 14,157/x
3. Step 3: Cross multiply
   10,077x = 14,157 × 14,157
4. Step 4: Simplify right side
   10,077x = 200,420,649
5. Step 5: Solve for x
   x = 200,420,649/10,077
6. Step 6: Final answer
   x = 19,888.92