Finding the Third Proportional to 30,400 and 42,780

Step by Step Solution

1. Step 1: Write the proportion equation
   30,400 : 42,780 = 42,780 : x
2. Step 2: Convert to fraction form
   30,400/42,780 = 42,780/x
3. Step 3: Cross multiply
   30,400x = 42,780 × 42,780
4. Step 4: Simplify right side
   30,400x = 1,830,128,400
5. Step 5: Solve for x
   x = 1,830,128,400/30,400
6. Step 6: Final answer
   x = 60,201.59