Finding the Third Proportional to 30,588 and 41,274

Step by Step Solution

1. Step 1: Write the proportion equation
   30,588 : 41,274 = 41,274 : x
2. Step 2: Convert to fraction form
   30,588/41,274 = 41,274/x
3. Step 3: Cross multiply
   30,588x = 41,274 × 41,274
4. Step 4: Simplify right side
   30,588x = 1,703,543,076
5. Step 5: Solve for x
   x = 1,703,543,076/30,588
6. Step 6: Final answer
   x = 55,693.18