Finding the Third Proportional to 17,734 and 37,290

Step by Step Solution

1. Step 1: Write the proportion equation
   17,734 : 37,290 = 37,290 : x
2. Step 2: Convert to fraction form
   17,734/37,290 = 37,290/x
3. Step 3: Cross multiply
   17,734x = 37,290 × 37,290
4. Step 4: Simplify right side
   17,734x = 1,390,544,100
5. Step 5: Solve for x
   x = 1,390,544,100/17,734
6. Step 6: Final answer
   x = 78,411.19