Finding the Third Proportional to 20,093 and 42,346

Step by Step Solution

1. Step 1: Write the proportion equation
   20,093 : 42,346 = 42,346 : x
2. Step 2: Convert to fraction form
   20,093/42,346 = 42,346/x
3. Step 3: Cross multiply
   20,093x = 42,346 × 42,346
4. Step 4: Simplify right side
   20,093x = 1,793,183,716
5. Step 5: Solve for x
   x = 1,793,183,716/20,093
6. Step 6: Final answer
   x = 89,244.20