Finding the Third Proportional to 30,591 and 64,638

Step by Step Solution

1. Step 1: Write the proportion equation
   30,591 : 64,638 = 64,638 : x
2. Step 2: Convert to fraction form
   30,591/64,638 = 64,638/x
3. Step 3: Cross multiply
   30,591x = 64,638 × 64,638
4. Step 4: Simplify right side
   30,591x = 4,178,071,044
5. Step 5: Solve for x
   x = 4,178,071,044/30,591
6. Step 6: Final answer
   x = 136,578.44