Finding the Third Proportional to 38,315 and 57,238

Step by Step Solution

1. Step 1: Write the proportion equation
   38,315 : 57,238 = 57,238 : x
2. Step 2: Convert to fraction form
   38,315/57,238 = 57,238/x
3. Step 3: Cross multiply
   38,315x = 57,238 × 57,238
4. Step 4: Simplify right side
   38,315x = 3,276,188,644
5. Step 5: Solve for x
   x = 3,276,188,644/38,315
6. Step 6: Final answer
   x = 85,506.69