Finding the Third Proportional to 33,784 and 52,997

Step by Step Solution

1. Step 1: Write the proportion equation
   33,784 : 52,997 = 52,997 : x
2. Step 2: Convert to fraction form
   33,784/52,997 = 52,997/x
3. Step 3: Cross multiply
   33,784x = 52,997 × 52,997
4. Step 4: Simplify right side
   33,784x = 2,808,682,009
5. Step 5: Solve for x
   x = 2,808,682,009/33,784
6. Step 6: Final answer
   x = 83,136.46