Finding the Third Proportional to 10,397 and 22,253

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397 : 22,253 = 22,253 : x
2. Step 2: Convert to fraction form
   10,397/22,253 = 22,253/x
3. Step 3: Cross multiply
   10,397x = 22,253 × 22,253
4. Step 4: Simplify right side
   10,397x = 495,196,009
5. Step 5: Solve for x
   x = 495,196,009/10,397
6. Step 6: Final answer
   x = 47,628.74