Finding the Third Proportional to 17,578.50 and 37,923

Step by Step Solution

1. Step 1: Write the proportion equation
   17,578.50 : 37,923 = 37,923 : x
2. Step 2: Convert to fraction form
   17,578.50/37,923 = 37,923/x
3. Step 3: Cross multiply
   17,578.50x = 37,923 × 37,923
4. Step 4: Simplify right side
   17,578.50x = 1,438,153,929
5. Step 5: Solve for x
   x = 1,438,153,929/17,578.50
6. Step 6: Final answer
   x = 81,813.23