Finding the Third Proportional to 10,185 and 13,347

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185 : 13,347 = 13,347 : x
2. Step 2: Convert to fraction form
   10,185/13,347 = 13,347/x
3. Step 3: Cross multiply
   10,185x = 13,347 × 13,347
4. Step 4: Simplify right side
   10,185x = 178,142,409
5. Step 5: Solve for x
   x = 178,142,409/10,185
6. Step 6: Final answer
   x = 17,490.66