Finding the Third Proportional to 40,421 and 57,760

Step by Step Solution

1. Step 1: Write the proportion equation
   40,421 : 57,760 = 57,760 : x
2. Step 2: Convert to fraction form
   40,421/57,760 = 57,760/x
3. Step 3: Cross multiply
   40,421x = 57,760 × 57,760
4. Step 4: Simplify right side
   40,421x = 3,336,217,600
5. Step 5: Solve for x
   x = 3,336,217,600/40,421
6. Step 6: Final answer
   x = 82,536.74