Finding the Third Proportional to 6,335 and 10,109

Step by Step Solution

1. Step 1: Write the proportion equation
   6,335 : 10,109 = 10,109 : x
2. Step 2: Convert to fraction form
   6,335/10,109 = 10,109/x
3. Step 3: Cross multiply
   6,335x = 10,109 × 10,109
4. Step 4: Simplify right side
   6,335x = 102,191,881
5. Step 5: Solve for x
   x = 102,191,881/6,335
6. Step 6: Final answer
   x = 16,131.32