Finding the Third Proportional to 19,377 and 41,042

Step by Step Solution

1. Step 1: Write the proportion equation
   19,377 : 41,042 = 41,042 : x
2. Step 2: Convert to fraction form
   19,377/41,042 = 41,042/x
3. Step 3: Cross multiply
   19,377x = 41,042 × 41,042
4. Step 4: Simplify right side
   19,377x = 1,684,445,764
5. Step 5: Solve for x
   x = 1,684,445,764/19,377
6. Step 6: Final answer
   x = 86,930.16