Finding the Third Proportional to 33,148 and 72,596

Step by Step Solution

1. Step 1: Write the proportion equation
   33,148 : 72,596 = 72,596 : x
2. Step 2: Convert to fraction form
   33,148/72,596 = 72,596/x
3. Step 3: Cross multiply
   33,148x = 72,596 × 72,596
4. Step 4: Simplify right side
   33,148x = 5,270,179,216
5. Step 5: Solve for x
   x = 5,270,179,216/33,148
6. Step 6: Final answer
   x = 158,989.36