Finding the Third Proportional to 20,258 and 42,564

Step by Step Solution

1. Step 1: Write the proportion equation
   20,258 : 42,564 = 42,564 : x
2. Step 2: Convert to fraction form
   20,258/42,564 = 42,564/x
3. Step 3: Cross multiply
   20,258x = 42,564 × 42,564
4. Step 4: Simplify right side
   20,258x = 1,811,694,096
5. Step 5: Solve for x
   x = 1,811,694,096/20,258
6. Step 6: Final answer
   x = 89,431.04