Finding the Third Proportional to 17,642 and 37,710

Step by Step Solution

1. Step 1: Write the proportion equation
   17,642 : 37,710 = 37,710 : x
2. Step 2: Convert to fraction form
   17,642/37,710 = 37,710/x
3. Step 3: Cross multiply
   17,642x = 37,710 × 37,710
4. Step 4: Simplify right side
   17,642x = 1,422,044,100
5. Step 5: Solve for x
   x = 1,422,044,100/17,642
6. Step 6: Final answer
   x = 80,605.61