Finding the Third Proportional to 9,205 and 12,372

Step by Step Solution

1. Step 1: Write the proportion equation
   9,205 : 12,372 = 12,372 : x
2. Step 2: Convert to fraction form
   9,205/12,372 = 12,372/x
3. Step 3: Cross multiply
   9,205x = 12,372 × 12,372
4. Step 4: Simplify right side
   9,205x = 153,066,384
5. Step 5: Solve for x
   x = 153,066,384/9,205
6. Step 6: Final answer
   x = 16,628.61