Finding the Third Proportional to 17,757 and 37,676.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,757 : 37,676.25 = 37,676.25 : x
2. Step 2: Convert to fraction form
   17,757/37,676.25 = 37,676.25/x
3. Step 3: Cross multiply
   17,757x = 37,676.25 × 37,676.25
4. Step 4: Simplify right side
   17,757x = 1,419,499,814.06
5. Step 5: Solve for x
   x = 1,419,499,814.06/17,757
6. Step 6: Final answer
   x = 79,940.29