Finding the Third Proportional to 17,407 and 37,274

Step by Step Solution

1. Step 1: Write the proportion equation
   17,407 : 37,274 = 37,274 : x
2. Step 2: Convert to fraction form
   17,407/37,274 = 37,274/x
3. Step 3: Cross multiply
   17,407x = 37,274 × 37,274
4. Step 4: Simplify right side
   17,407x = 1,389,351,076
5. Step 5: Solve for x
   x = 1,389,351,076/17,407
6. Step 6: Final answer
   x = 79,815.65