Finding the Third Proportional to 17,674 and 38,749

Step by Step Solution

1. Step 1: Write the proportion equation
   17,674 : 38,749 = 38,749 : x
2. Step 2: Convert to fraction form
   17,674/38,749 = 38,749/x
3. Step 3: Cross multiply
   17,674x = 38,749 × 38,749
4. Step 4: Simplify right side
   17,674x = 1,501,485,001
5. Step 5: Solve for x
   x = 1,501,485,001/17,674
6. Step 6: Final answer
   x = 84,954.45