Finding the Third Proportional to 17,676 and 37,052

Step by Step Solution

1. Step 1: Write the proportion equation
   17,676 : 37,052 = 37,052 : x
2. Step 2: Convert to fraction form
   17,676/37,052 = 37,052/x
3. Step 3: Cross multiply
   17,676x = 37,052 × 37,052
4. Step 4: Simplify right side
   17,676x = 1,372,850,704
5. Step 5: Solve for x
   x = 1,372,850,704/17,676
6. Step 6: Final answer
   x = 77,667.50