Finding the Third Proportional to 19,537 and 42,041

Step by Step Solution

1. Step 1: Write the proportion equation
   19,537 : 42,041 = 42,041 : x
2. Step 2: Convert to fraction form
   19,537/42,041 = 42,041/x
3. Step 3: Cross multiply
   19,537x = 42,041 × 42,041
4. Step 4: Simplify right side
   19,537x = 1,767,445,681
5. Step 5: Solve for x
   x = 1,767,445,681/19,537
6. Step 6: Final answer
   x = 90,466.59