Finding the Third Proportional to 17,319 and 37,674

Step by Step Solution

1. Step 1: Write the proportion equation
   17,319 : 37,674 = 37,674 : x
2. Step 2: Convert to fraction form
   17,319/37,674 = 37,674/x
3. Step 3: Cross multiply
   17,319x = 37,674 × 37,674
4. Step 4: Simplify right side
   17,319x = 1,419,330,276
5. Step 5: Solve for x
   x = 1,419,330,276/17,319
6. Step 6: Final answer
   x = 81,952.21