Finding the Third Proportional to 10,308 and 24,322

Step by Step Solution

1. Step 1: Write the proportion equation
   10,308 : 24,322 = 24,322 : x
2. Step 2: Convert to fraction form
   10,308/24,322 = 24,322/x
3. Step 3: Cross multiply
   10,308x = 24,322 × 24,322
4. Step 4: Simplify right side
   10,308x = 591,559,684
5. Step 5: Solve for x
   x = 591,559,684/10,308
6. Step 6: Final answer
   x = 57,388.41