Finding the Third Proportional to 17,640 and 37,978

Step by Step Solution

1. Step 1: Write the proportion equation
   17,640 : 37,978 = 37,978 : x
2. Step 2: Convert to fraction form
   17,640/37,978 = 37,978/x
3. Step 3: Cross multiply
   17,640x = 37,978 × 37,978
4. Step 4: Simplify right side
   17,640x = 1,442,328,484
5. Step 5: Solve for x
   x = 1,442,328,484/17,640
6. Step 6: Final answer
   x = 81,764.65