Finding the Third Proportional to 25,894 and 37,585

Step by Step Solution

1. Step 1: Write the proportion equation
   25,894 : 37,585 = 37,585 : x
2. Step 2: Convert to fraction form
   25,894/37,585 = 37,585/x
3. Step 3: Cross multiply
   25,894x = 37,585 × 37,585
4. Step 4: Simplify right side
   25,894x = 1,412,632,225
5. Step 5: Solve for x
   x = 1,412,632,225/25,894
6. Step 6: Final answer
   x = 54,554.42