Finding the Third Proportional to 19,813 and 42,299

Step by Step Solution

1. Step 1: Write the proportion equation
   19,813 : 42,299 = 42,299 : x
2. Step 2: Convert to fraction form
   19,813/42,299 = 42,299/x
3. Step 3: Cross multiply
   19,813x = 42,299 × 42,299
4. Step 4: Simplify right side
   19,813x = 1,789,205,401
5. Step 5: Solve for x
   x = 1,789,205,401/19,813
6. Step 6: Final answer
   x = 90,304.62