Finding the Third Proportional to 17,194 and 37,278

Step by Step Solution

1. Step 1: Write the proportion equation
   17,194 : 37,278 = 37,278 : x
2. Step 2: Convert to fraction form
   17,194/37,278 = 37,278/x
3. Step 3: Cross multiply
   17,194x = 37,278 × 37,278
4. Step 4: Simplify right side
   17,194x = 1,389,649,284
5. Step 5: Solve for x
   x = 1,389,649,284/17,194
6. Step 6: Final answer
   x = 80,821.76