Finding the Third Proportional to 33,735 and 53,610

Step by Step Solution

1. Step 1: Write the proportion equation
   33,735 : 53,610 = 53,610 : x
2. Step 2: Convert to fraction form
   33,735/53,610 = 53,610/x
3. Step 3: Cross multiply
   33,735x = 53,610 × 53,610
4. Step 4: Simplify right side
   33,735x = 2,874,032,100
5. Step 5: Solve for x
   x = 2,874,032,100/33,735
6. Step 6: Final answer
   x = 85,194.37