Finding the Third Proportional to 6,570 and 10,187

Step by Step Solution

1. Step 1: Write the proportion equation
   6,570 : 10,187 = 10,187 : x
2. Step 2: Convert to fraction form
   6,570/10,187 = 10,187/x
3. Step 3: Cross multiply
   6,570x = 10,187 × 10,187
4. Step 4: Simplify right side
   6,570x = 103,774,969
5. Step 5: Solve for x
   x = 103,774,969/6,570
6. Step 6: Final answer
   x = 15,795.28