Finding the Third Proportional to 20,105 and 42,463

Step by Step Solution

1. Step 1: Write the proportion equation
   20,105 : 42,463 = 42,463 : x
2. Step 2: Convert to fraction form
   20,105/42,463 = 42,463/x
3. Step 3: Cross multiply
   20,105x = 42,463 × 42,463
4. Step 4: Simplify right side
   20,105x = 1,803,106,369
5. Step 5: Solve for x
   x = 1,803,106,369/20,105
6. Step 6: Final answer
   x = 89,684.47