Finding the Third Proportional to 9,892 and 15,262

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892 : 15,262 = 15,262 : x
2. Step 2: Convert to fraction form
   9,892/15,262 = 15,262/x
3. Step 3: Cross multiply
   9,892x = 15,262 × 15,262
4. Step 4: Simplify right side
   9,892x = 232,928,644
5. Step 5: Solve for x
   x = 232,928,644/9,892
6. Step 6: Final answer
   x = 23,547.17