Finding the Third Proportional to 33,580 and 71,148

Step by Step Solution

1. Step 1: Write the proportion equation
   33,580 : 71,148 = 71,148 : x
2. Step 2: Convert to fraction form
   33,580/71,148 = 71,148/x
3. Step 3: Cross multiply
   33,580x = 71,148 × 71,148
4. Step 4: Simplify right side
   33,580x = 5,062,037,904
5. Step 5: Solve for x
   x = 5,062,037,904/33,580
6. Step 6: Final answer
   x = 150,745.62