Finding the Third Proportional to 38,658 and 59,733

Step by Step Solution

1. Step 1: Write the proportion equation
   38,658 : 59,733 = 59,733 : x
2. Step 2: Convert to fraction form
   38,658/59,733 = 59,733/x
3. Step 3: Cross multiply
   38,658x = 59,733 × 59,733
4. Step 4: Simplify right side
   38,658x = 3,568,031,289
5. Step 5: Solve for x
   x = 3,568,031,289/38,658
6. Step 6: Final answer
   x = 92,297.36