Finding the Third Proportional to 42,162 and 56,397

Step by Step Solution

1. Step 1: Write the proportion equation
   42,162 : 56,397 = 56,397 : x
2. Step 2: Convert to fraction form
   42,162/56,397 = 56,397/x
3. Step 3: Cross multiply
   42,162x = 56,397 × 56,397
4. Step 4: Simplify right side
   42,162x = 3,180,621,609
5. Step 5: Solve for x
   x = 3,180,621,609/42,162
6. Step 6: Final answer
   x = 75,438.11