Finding the Third Proportional to 17,969 and 38,242

Step by Step Solution

1. Step 1: Write the proportion equation
   17,969 : 38,242 = 38,242 : x
2. Step 2: Convert to fraction form
   17,969/38,242 = 38,242/x
3. Step 3: Cross multiply
   17,969x = 38,242 × 38,242
4. Step 4: Simplify right side
   17,969x = 1,462,450,564
5. Step 5: Solve for x
   x = 1,462,450,564/17,969
6. Step 6: Final answer
   x = 81,387.42