Finding the Third Proportional to 38,404 and 57,310

Step by Step Solution

1. Step 1: Write the proportion equation
   38,404 : 57,310 = 57,310 : x
2. Step 2: Convert to fraction form
   38,404/57,310 = 57,310/x
3. Step 3: Cross multiply
   38,404x = 57,310 × 57,310
4. Step 4: Simplify right side
   38,404x = 3,284,436,100
5. Step 5: Solve for x
   x = 3,284,436,100/38,404
6. Step 6: Final answer
   x = 85,523.28