Finding the Third Proportional to 6,561 and 10,157

Step by Step Solution

1. Step 1: Write the proportion equation
   6,561 : 10,157 = 10,157 : x
2. Step 2: Convert to fraction form
   6,561/10,157 = 10,157/x
3. Step 3: Cross multiply
   6,561x = 10,157 × 10,157
4. Step 4: Simplify right side
   6,561x = 103,164,649
5. Step 5: Solve for x
   x = 103,164,649/6,561
6. Step 6: Final answer
   x = 15,723.92