Finding the Third Proportional to 11,298 and 23,382

Step by Step Solution

1. Step 1: Write the proportion equation
   11,298 : 23,382 = 23,382 : x
2. Step 2: Convert to fraction form
   11,298/23,382 = 23,382/x
3. Step 3: Cross multiply
   11,298x = 23,382 × 23,382
4. Step 4: Simplify right side
   11,298x = 546,717,924
5. Step 5: Solve for x
   x = 546,717,924/11,298
6. Step 6: Final answer
   x = 48,390.68