Finding the Third Proportional to 33,346 and 72,888

Step by Step Solution

1. Step 1: Write the proportion equation
   33,346 : 72,888 = 72,888 : x
2. Step 2: Convert to fraction form
   33,346/72,888 = 72,888/x
3. Step 3: Cross multiply
   33,346x = 72,888 × 72,888
4. Step 4: Simplify right side
   33,346x = 5,312,660,544
5. Step 5: Solve for x
   x = 5,312,660,544/33,346
6. Step 6: Final answer
   x = 159,319.27