Finding the Third Proportional to 33,856 and 74,718

Step by Step Solution

1. Step 1: Write the proportion equation
   33,856 : 74,718 = 74,718 : x
2. Step 2: Convert to fraction form
   33,856/74,718 = 74,718/x
3. Step 3: Cross multiply
   33,856x = 74,718 × 74,718
4. Step 4: Simplify right side
   33,856x = 5,582,779,524
5. Step 5: Solve for x
   x = 5,582,779,524/33,856
6. Step 6: Final answer
   x = 164,897.79