Finding the Third Proportional to 33,698 and 73,804

Step by Step Solution

1. Step 1: Write the proportion equation
   33,698 : 73,804 = 73,804 : x
2. Step 2: Convert to fraction form
   33,698/73,804 = 73,804/x
3. Step 3: Cross multiply
   33,698x = 73,804 × 73,804
4. Step 4: Simplify right side
   33,698x = 5,447,030,416
5. Step 5: Solve for x
   x = 5,447,030,416/33,698
6. Step 6: Final answer
   x = 161,642.54