Finding the Third Proportional to 13,873 and 30,574

Step by Step Solution

1. Step 1: Write the proportion equation
   13,873 : 30,574 = 30,574 : x
2. Step 2: Convert to fraction form
   13,873/30,574 = 30,574/x
3. Step 3: Cross multiply
   13,873x = 30,574 × 30,574
4. Step 4: Simplify right side
   13,873x = 934,769,476
5. Step 5: Solve for x
   x = 934,769,476/13,873
6. Step 6: Final answer
   x = 67,380.49