Finding the Third Proportional to 42,176 and 85,564

Step by Step Solution

1. Step 1: Write the proportion equation
   42,176 : 85,564 = 85,564 : x
2. Step 2: Convert to fraction form
   42,176/85,564 = 85,564/x
3. Step 3: Cross multiply
   42,176x = 85,564 × 85,564
4. Step 4: Simplify right side
   42,176x = 7,321,198,096
5. Step 5: Solve for x
   x = 7,321,198,096/42,176
6. Step 6: Final answer
   x = 173,586.83