Finding the Third Proportional to 33,837 and 72,858

Step by Step Solution

1. Step 1: Write the proportion equation
   33,837 : 72,858 = 72,858 : x
2. Step 2: Convert to fraction form
   33,837/72,858 = 72,858/x
3. Step 3: Cross multiply
   33,837x = 72,858 × 72,858
4. Step 4: Simplify right side
   33,837x = 5,308,288,164
5. Step 5: Solve for x
   x = 5,308,288,164/33,837
6. Step 6: Final answer
   x = 156,878.22