Finding the Third Proportional to 19,194 and 41,142

Step by Step Solution

1. Step 1: Write the proportion equation
   19,194 : 41,142 = 41,142 : x
2. Step 2: Convert to fraction form
   19,194/41,142 = 41,142/x
3. Step 3: Cross multiply
   19,194x = 41,142 × 41,142
4. Step 4: Simplify right side
   19,194x = 1,692,664,164
5. Step 5: Solve for x
   x = 1,692,664,164/19,194
6. Step 6: Final answer
   x = 88,187.15