Finding the Third Proportional to 37,784 and 52,824

Step by Step Solution

1. Step 1: Write the proportion equation
   37,784 : 52,824 = 52,824 : x
2. Step 2: Convert to fraction form
   37,784/52,824 = 52,824/x
3. Step 3: Cross multiply
   37,784x = 52,824 × 52,824
4. Step 4: Simplify right side
   37,784x = 2,790,374,976
5. Step 5: Solve for x
   x = 2,790,374,976/37,784
6. Step 6: Final answer
   x = 73,850.70