Finding the Third Proportional to 17,628 and 37,749

Step by Step Solution

1. Step 1: Write the proportion equation
   17,628 : 37,749 = 37,749 : x
2. Step 2: Convert to fraction form
   17,628/37,749 = 37,749/x
3. Step 3: Cross multiply
   17,628x = 37,749 × 37,749
4. Step 4: Simplify right side
   17,628x = 1,424,987,001
5. Step 5: Solve for x
   x = 1,424,987,001/17,628
6. Step 6: Final answer
   x = 80,836.57