Finding the Third Proportional to 33,268 and 72,788

Step by Step Solution

1. Step 1: Write the proportion equation
   33,268 : 72,788 = 72,788 : x
2. Step 2: Convert to fraction form
   33,268/72,788 = 72,788/x
3. Step 3: Cross multiply
   33,268x = 72,788 × 72,788
4. Step 4: Simplify right side
   33,268x = 5,298,092,944
5. Step 5: Solve for x
   x = 5,298,092,944/33,268
6. Step 6: Final answer
   x = 159,254.93