Finding the Third Proportional to 10,397 and 22,308

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397 : 22,308 = 22,308 : x
2. Step 2: Convert to fraction form
   10,397/22,308 = 22,308/x
3. Step 3: Cross multiply
   10,397x = 22,308 × 22,308
4. Step 4: Simplify right side
   10,397x = 497,646,864
5. Step 5: Solve for x
   x = 497,646,864/10,397
6. Step 6: Final answer
   x = 47,864.47