Finding the Third Proportional to 31,617 and 67,742

Step by Step Solution

1. Step 1: Write the proportion equation
   31,617 : 67,742 = 67,742 : x
2. Step 2: Convert to fraction form
   31,617/67,742 = 67,742/x
3. Step 3: Cross multiply
   31,617x = 67,742 × 67,742
4. Step 4: Simplify right side
   31,617x = 4,588,978,564
5. Step 5: Solve for x
   x = 4,588,978,564/31,617
6. Step 6: Final answer
   x = 145,142.76