Finding the Third Proportional to 30,976 and 41,620

Step by Step Solution

1. Step 1: Write the proportion equation
   30,976 : 41,620 = 41,620 : x
2. Step 2: Convert to fraction form
   30,976/41,620 = 41,620/x
3. Step 3: Cross multiply
   30,976x = 41,620 × 41,620
4. Step 4: Simplify right side
   30,976x = 1,732,224,400
5. Step 5: Solve for x
   x = 1,732,224,400/30,976
6. Step 6: Final answer
   x = 55,921.50