Finding the Third Proportional to 9,850 and 13,269

Step by Step Solution

1. Step 1: Write the proportion equation
   9,850 : 13,269 = 13,269 : x
2. Step 2: Convert to fraction form
   9,850/13,269 = 13,269/x
3. Step 3: Cross multiply
   9,850x = 13,269 × 13,269
4. Step 4: Simplify right side
   9,850x = 176,066,361
5. Step 5: Solve for x
   x = 176,066,361/9,850
6. Step 6: Final answer
   x = 17,874.76