Finding the Third Proportional to 11,819 and 25,585

Step by Step Solution

1. Step 1: Write the proportion equation
   11,819 : 25,585 = 25,585 : x
2. Step 2: Convert to fraction form
   11,819/25,585 = 25,585/x
3. Step 3: Cross multiply
   11,819x = 25,585 × 25,585
4. Step 4: Simplify right side
   11,819x = 654,592,225
5. Step 5: Solve for x
   x = 654,592,225/11,819
6. Step 6: Final answer
   x = 55,384.74