Finding the Third Proportional to 31,009.50 and 67,638

Step by Step Solution

1. Step 1: Write the proportion equation
   31,009.50 : 67,638 = 67,638 : x
2. Step 2: Convert to fraction form
   31,009.50/67,638 = 67,638/x
3. Step 3: Cross multiply
   31,009.50x = 67,638 × 67,638
4. Step 4: Simplify right side
   31,009.50x = 4,574,899,044
5. Step 5: Solve for x
   x = 4,574,899,044/31,009.50
6. Step 6: Final answer
   x = 147,532.18