Finding the Third Proportional to 31,673 and 67,583

Step by Step Solution

1. Step 1: Write the proportion equation
   31,673 : 67,583 = 67,583 : x
2. Step 2: Convert to fraction form
   31,673/67,583 = 67,583/x
3. Step 3: Cross multiply
   31,673x = 67,583 × 67,583
4. Step 4: Simplify right side
   31,673x = 4,567,461,889
5. Step 5: Solve for x
   x = 4,567,461,889/31,673
6. Step 6: Final answer
   x = 144,206.80