Finding the Third Proportional to 33,784 and 53,768

Step by Step Solution

1. Step 1: Write the proportion equation
   33,784 : 53,768 = 53,768 : x
2. Step 2: Convert to fraction form
   33,784/53,768 = 53,768/x
3. Step 3: Cross multiply
   33,784x = 53,768 × 53,768
4. Step 4: Simplify right side
   33,784x = 2,890,997,824
5. Step 5: Solve for x
   x = 2,890,997,824/33,784
6. Step 6: Final answer
   x = 85,572.99