Finding the Third Proportional to 20,242 and 42,785

Step by Step Solution

1. Step 1: Write the proportion equation
   20,242 : 42,785 = 42,785 : x
2. Step 2: Convert to fraction form
   20,242/42,785 = 42,785/x
3. Step 3: Cross multiply
   20,242x = 42,785 × 42,785
4. Step 4: Simplify right side
   20,242x = 1,830,556,225
5. Step 5: Solve for x
   x = 1,830,556,225/20,242
6. Step 6: Final answer
   x = 90,433.57