Finding the Third Proportional to 30,880 and 42,533

Step by Step Solution

1. Step 1: Write the proportion equation
   30,880 : 42,533 = 42,533 : x
2. Step 2: Convert to fraction form
   30,880/42,533 = 42,533/x
3. Step 3: Cross multiply
   30,880x = 42,533 × 42,533
4. Step 4: Simplify right side
   30,880x = 1,809,056,089
5. Step 5: Solve for x
   x = 1,809,056,089/30,880
6. Step 6: Final answer
   x = 58,583.42