Finding the Third Proportional to 17,808 and 37,824

Step by Step Solution

1. Step 1: Write the proportion equation
   17,808 : 37,824 = 37,824 : x
2. Step 2: Convert to fraction form
   17,808/37,824 = 37,824/x
3. Step 3: Cross multiply
   17,808x = 37,824 × 37,824
4. Step 4: Simplify right side
   17,808x = 1,430,654,976
5. Step 5: Solve for x
   x = 1,430,654,976/17,808
6. Step 6: Final answer
   x = 80,337.77