Finding the Third Proportional to 12,578 and 17,581

Step by Step Solution

1. Step 1: Write the proportion equation
   12,578 : 17,581 = 17,581 : x
2. Step 2: Convert to fraction form
   12,578/17,581 = 17,581/x
3. Step 3: Cross multiply
   12,578x = 17,581 × 17,581
4. Step 4: Simplify right side
   12,578x = 309,091,561
5. Step 5: Solve for x
   x = 309,091,561/12,578
6. Step 6: Final answer
   x = 24,573.98