Finding the Third Proportional to 17,686 and 37,820

Step by Step Solution

1. Step 1: Write the proportion equation
   17,686 : 37,820 = 37,820 : x
2. Step 2: Convert to fraction form
   17,686/37,820 = 37,820/x
3. Step 3: Cross multiply
   17,686x = 37,820 × 37,820
4. Step 4: Simplify right side
   17,686x = 1,430,352,400
5. Step 5: Solve for x
   x = 1,430,352,400/17,686
6. Step 6: Final answer
   x = 80,874.84