Finding the Third Proportional to 37,824 and 56,640

Step by Step Solution

1. Step 1: Write the proportion equation
   37,824 : 56,640 = 56,640 : x
2. Step 2: Convert to fraction form
   37,824/56,640 = 56,640/x
3. Step 3: Cross multiply
   37,824x = 56,640 × 56,640
4. Step 4: Simplify right side
   37,824x = 3,208,089,600
5. Step 5: Solve for x
   x = 3,208,089,600/37,824
6. Step 6: Final answer
   x = 84,816.24