Finding the Third Proportional to 9,385 and 13,199

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385 : 13,199 = 13,199 : x
2. Step 2: Convert to fraction form
   9,385/13,199 = 13,199/x
3. Step 3: Cross multiply
   9,385x = 13,199 × 13,199
4. Step 4: Simplify right side
   9,385x = 174,213,601
5. Step 5: Solve for x
   x = 174,213,601/9,385
6. Step 6: Final answer
   x = 18,562.98