Finding the Third Proportional to 31,545 and 67,740

Step by Step Solution

1. Step 1: Write the proportion equation
   31,545 : 67,740 = 67,740 : x
2. Step 2: Convert to fraction form
   31,545/67,740 = 67,740/x
3. Step 3: Cross multiply
   31,545x = 67,740 × 67,740
4. Step 4: Simplify right side
   31,545x = 4,588,707,600
5. Step 5: Solve for x
   x = 4,588,707,600/31,545
6. Step 6: Final answer
   x = 145,465.45