Finding the Third Proportional to 17,786 and 37,762

Step by Step Solution

1. Step 1: Write the proportion equation
   17,786 : 37,762 = 37,762 : x
2. Step 2: Convert to fraction form
   17,786/37,762 = 37,762/x
3. Step 3: Cross multiply
   17,786x = 37,762 × 37,762
4. Step 4: Simplify right side
   17,786x = 1,425,968,644
5. Step 5: Solve for x
   x = 1,425,968,644/17,786
6. Step 6: Final answer
   x = 80,173.66