Finding the Third Proportional to 19,624 and 42,524

Step by Step Solution

1. Step 1: Write the proportion equation
   19,624 : 42,524 = 42,524 : x
2. Step 2: Convert to fraction form
   19,624/42,524 = 42,524/x
3. Step 3: Cross multiply
   19,624x = 42,524 × 42,524
4. Step 4: Simplify right side
   19,624x = 1,808,290,576
5. Step 5: Solve for x
   x = 1,808,290,576/19,624
6. Step 6: Final answer
   x = 92,146.89