Finding the Third Proportional to 12,375 and 19,322

Step by Step Solution

1. Step 1: Write the proportion equation
   12,375 : 19,322 = 19,322 : x
2. Step 2: Convert to fraction form
   12,375/19,322 = 19,322/x
3. Step 3: Cross multiply
   12,375x = 19,322 × 19,322
4. Step 4: Simplify right side
   12,375x = 373,339,684
5. Step 5: Solve for x
   x = 373,339,684/12,375
6. Step 6: Final answer
   x = 30,168.86