Finding the Third Proportional to 33,926 and 74,740

Step by Step Solution

1. Step 1: Write the proportion equation
   33,926 : 74,740 = 74,740 : x
2. Step 2: Convert to fraction form
   33,926/74,740 = 74,740/x
3. Step 3: Cross multiply
   33,926x = 74,740 × 74,740
4. Step 4: Simplify right side
   33,926x = 5,586,067,600
5. Step 5: Solve for x
   x = 5,586,067,600/33,926
6. Step 6: Final answer
   x = 164,654.47