Finding the Third Proportional to 19,080 and 41,774

Step by Step Solution

1. Step 1: Write the proportion equation
   19,080 : 41,774 = 41,774 : x
2. Step 2: Convert to fraction form
   19,080/41,774 = 41,774/x
3. Step 3: Cross multiply
   19,080x = 41,774 × 41,774
4. Step 4: Simplify right side
   19,080x = 1,745,067,076
5. Step 5: Solve for x
   x = 1,745,067,076/19,080
6. Step 6: Final answer
   x = 91,460.54