Finding the Third Proportional to 33,939 and 74,210

Step by Step Solution

1. Step 1: Write the proportion equation
   33,939 : 74,210 = 74,210 : x
2. Step 2: Convert to fraction form
   33,939/74,210 = 74,210/x
3. Step 3: Cross multiply
   33,939x = 74,210 × 74,210
4. Step 4: Simplify right side
   33,939x = 5,507,124,100
5. Step 5: Solve for x
   x = 5,507,124,100/33,939
6. Step 6: Final answer
   x = 162,265.36