Finding the Third Proportional to 37,824 and 50,880

Step by Step Solution

1. Step 1: Write the proportion equation
   37,824 : 50,880 = 50,880 : x
2. Step 2: Convert to fraction form
   37,824/50,880 = 50,880/x
3. Step 3: Cross multiply
   37,824x = 50,880 × 50,880
4. Step 4: Simplify right side
   37,824x = 2,588,774,400
5. Step 5: Solve for x
   x = 2,588,774,400/37,824
6. Step 6: Final answer
   x = 68,442.64