Finding the Third Proportional to 20,322 and 42,345

Step by Step Solution

1. Step 1: Write the proportion equation
   20,322 : 42,345 = 42,345 : x
2. Step 2: Convert to fraction form
   20,322/42,345 = 42,345/x
3. Step 3: Cross multiply
   20,322x = 42,345 × 42,345
4. Step 4: Simplify right side
   20,322x = 1,793,099,025
5. Step 5: Solve for x
   x = 1,793,099,025/20,322
6. Step 6: Final answer
   x = 88,234.38