Finding the Third Proportional to 17,242 and 37,642

Step by Step Solution

1. Step 1: Write the proportion equation
   17,242 : 37,642 = 37,642 : x
2. Step 2: Convert to fraction form
   17,242/37,642 = 37,642/x
3. Step 3: Cross multiply
   17,242x = 37,642 × 37,642
4. Step 4: Simplify right side
   17,242x = 1,416,920,164
5. Step 5: Solve for x
   x = 1,416,920,164/17,242
6. Step 6: Final answer
   x = 82,178.41