Finding the Third Proportional to 38,536 and 57,638

Step by Step Solution

1. Step 1: Write the proportion equation
   38,536 : 57,638 = 57,638 : x
2. Step 2: Convert to fraction form
   38,536/57,638 = 57,638/x
3. Step 3: Cross multiply
   38,536x = 57,638 × 57,638
4. Step 4: Simplify right side
   38,536x = 3,322,139,044
5. Step 5: Solve for x
   x = 3,322,139,044/38,536
6. Step 6: Final answer
   x = 86,208.72