Finding the Third Proportional to 19,523 and 41,800

Step by Step Solution

1. Step 1: Write the proportion equation
   19,523 : 41,800 = 41,800 : x
2. Step 2: Convert to fraction form
   19,523/41,800 = 41,800/x
3. Step 3: Cross multiply
   19,523x = 41,800 × 41,800
4. Step 4: Simplify right side
   19,523x = 1,747,240,000
5. Step 5: Solve for x
   x = 1,747,240,000/19,523
6. Step 6: Final answer
   x = 89,496.49