Finding the Third Proportional to 30,224 and 35,780

Step by Step Solution

1. Step 1: Write the proportion equation
   30,224 : 35,780 = 35,780 : x
2. Step 2: Convert to fraction form
   30,224/35,780 = 35,780/x
3. Step 3: Cross multiply
   30,224x = 35,780 × 35,780
4. Step 4: Simplify right side
   30,224x = 1,280,208,400
5. Step 5: Solve for x
   x = 1,280,208,400/30,224
6. Step 6: Final answer
   x = 42,357.35