Finding the Third Proportional to 27,819 and 57,583

Step by Step Solution

1. Step 1: Write the proportion equation
   27,819 : 57,583 = 57,583 : x
2. Step 2: Convert to fraction form
   27,819/57,583 = 57,583/x
3. Step 3: Cross multiply
   27,819x = 57,583 × 57,583
4. Step 4: Simplify right side
   27,819x = 3,315,801,889
5. Step 5: Solve for x
   x = 3,315,801,889/27,819
6. Step 6: Final answer
   x = 119,191.99