Finding the Third Proportional to 20,802 and 42,576

Step by Step Solution

1. Step 1: Write the proportion equation
   20,802 : 42,576 = 42,576 : x
2. Step 2: Convert to fraction form
   20,802/42,576 = 42,576/x
3. Step 3: Cross multiply
   20,802x = 42,576 × 42,576
4. Step 4: Simplify right side
   20,802x = 1,812,715,776
5. Step 5: Solve for x
   x = 1,812,715,776/20,802
6. Step 6: Final answer
   x = 87,141.42