Finding the Third Proportional to 9,499 and 23,286

Step by Step Solution

1. Step 1: Write the proportion equation
   9,499 : 23,286 = 23,286 : x
2. Step 2: Convert to fraction form
   9,499/23,286 = 23,286/x
3. Step 3: Cross multiply
   9,499x = 23,286 × 23,286
4. Step 4: Simplify right side
   9,499x = 542,237,796
5. Step 5: Solve for x
   x = 542,237,796/9,499
6. Step 6: Final answer
   x = 57,083.67