Finding the Third Proportional to 14,658 and 23,322

Step by Step Solution

1. Step 1: Write the proportion equation
   14,658 : 23,322 = 23,322 : x
2. Step 2: Convert to fraction form
   14,658/23,322 = 23,322/x
3. Step 3: Cross multiply
   14,658x = 23,322 × 23,322
4. Step 4: Simplify right side
   14,658x = 543,915,684
5. Step 5: Solve for x
   x = 543,915,684/14,658
6. Step 6: Final answer
   x = 37,107.09