Finding the Third Proportional to 19,537 and 41,503

Step by Step Solution

1. Step 1: Write the proportion equation
   19,537 : 41,503 = 41,503 : x
2. Step 2: Convert to fraction form
   19,537/41,503 = 41,503/x
3. Step 3: Cross multiply
   19,537x = 41,503 × 41,503
4. Step 4: Simplify right side
   19,537x = 1,722,499,009
5. Step 5: Solve for x
   x = 1,722,499,009/19,537
6. Step 6: Final answer
   x = 88,165.99