Finding the Third Proportional to 31,584 and 67,544

Step by Step Solution

1. Step 1: Write the proportion equation
   31,584 : 67,544 = 67,544 : x
2. Step 2: Convert to fraction form
   31,584/67,544 = 67,544/x
3. Step 3: Cross multiply
   31,584x = 67,544 × 67,544
4. Step 4: Simplify right side
   31,584x = 4,562,191,936
5. Step 5: Solve for x
   x = 4,562,191,936/31,584
6. Step 6: Final answer
   x = 144,446.30