Finding the Third Proportional to 17,894 and 37,259

Step by Step Solution

1. Step 1: Write the proportion equation
   17,894 : 37,259 = 37,259 : x
2. Step 2: Convert to fraction form
   17,894/37,259 = 37,259/x
3. Step 3: Cross multiply
   17,894x = 37,259 × 37,259
4. Step 4: Simplify right side
   17,894x = 1,388,233,081
5. Step 5: Solve for x
   x = 1,388,233,081/17,894
6. Step 6: Final answer
   x = 77,580.93