Finding the Third Proportional to 30,742 and 67,052

Step by Step Solution

1. Step 1: Write the proportion equation
   30,742 : 67,052 = 67,052 : x
2. Step 2: Convert to fraction form
   30,742/67,052 = 67,052/x
3. Step 3: Cross multiply
   30,742x = 67,052 × 67,052
4. Step 4: Simplify right side
   30,742x = 4,495,970,704
5. Step 5: Solve for x
   x = 4,495,970,704/30,742
6. Step 6: Final answer
   x = 146,248.48