Finding the Third Proportional to 30,924 and 42,006

Step by Step Solution

1. Step 1: Write the proportion equation
   30,924 : 42,006 = 42,006 : x
2. Step 2: Convert to fraction form
   30,924/42,006 = 42,006/x
3. Step 3: Cross multiply
   30,924x = 42,006 × 42,006
4. Step 4: Simplify right side
   30,924x = 1,764,504,036
5. Step 5: Solve for x
   x = 1,764,504,036/30,924
6. Step 6: Final answer
   x = 57,059.37