Finding the Third Proportional to 32,844 and 72,249

Step by Step Solution

1. Step 1: Write the proportion equation
   32,844 : 72,249 = 72,249 : x
2. Step 2: Convert to fraction form
   32,844/72,249 = 72,249/x
3. Step 3: Cross multiply
   32,844x = 72,249 × 72,249
4. Step 4: Simplify right side
   32,844x = 5,219,918,001
5. Step 5: Solve for x
   x = 5,219,918,001/32,844
6. Step 6: Final answer
   x = 158,930.64