Finding the Third Proportional to 38,256 and 57,386

Step by Step Solution

1. Step 1: Write the proportion equation
   38,256 : 57,386 = 57,386 : x
2. Step 2: Convert to fraction form
   38,256/57,386 = 57,386/x
3. Step 3: Cross multiply
   38,256x = 57,386 × 57,386
4. Step 4: Simplify right side
   38,256x = 3,293,152,996
5. Step 5: Solve for x
   x = 3,293,152,996/38,256
6. Step 6: Final answer
   x = 86,082.00