Finding the Third Proportional to 30,070 and 42,742

Step by Step Solution

1. Step 1: Write the proportion equation
   30,070 : 42,742 = 42,742 : x
2. Step 2: Convert to fraction form
   30,070/42,742 = 42,742/x
3. Step 3: Cross multiply
   30,070x = 42,742 × 42,742
4. Step 4: Simplify right side
   30,070x = 1,826,878,564
5. Step 5: Solve for x
   x = 1,826,878,564/30,070
6. Step 6: Final answer
   x = 60,754.19