Finding the Third Proportional to 33,789 and 53,004

Step by Step Solution

1. Step 1: Write the proportion equation
   33,789 : 53,004 = 53,004 : x
2. Step 2: Convert to fraction form
   33,789/53,004 = 53,004/x
3. Step 3: Cross multiply
   33,789x = 53,004 × 53,004
4. Step 4: Simplify right side
   33,789x = 2,809,424,016
5. Step 5: Solve for x
   x = 2,809,424,016/33,789
6. Step 6: Final answer
   x = 83,146.11