Finding the Third Proportional to 38,421 and 57,074

Step by Step Solution

1. Step 1: Write the proportion equation
   38,421 : 57,074 = 57,074 : x
2. Step 2: Convert to fraction form
   38,421/57,074 = 57,074/x
3. Step 3: Cross multiply
   38,421x = 57,074 × 57,074
4. Step 4: Simplify right side
   38,421x = 3,257,441,476
5. Step 5: Solve for x
   x = 3,257,441,476/38,421
6. Step 6: Final answer
   x = 84,782.84