Finding the Third Proportional to 31,080 and 67,678

Step by Step Solution

1. Step 1: Write the proportion equation
   31,080 : 67,678 = 67,678 : x
2. Step 2: Convert to fraction form
   31,080/67,678 = 67,678/x
3. Step 3: Cross multiply
   31,080x = 67,678 × 67,678
4. Step 4: Simplify right side
   31,080x = 4,580,311,684
5. Step 5: Solve for x
   x = 4,580,311,684/31,080
6. Step 6: Final answer
   x = 147,371.68