Finding the Third Proportional to 17,582 and 25,711

Step by Step Solution

1. Step 1: Write the proportion equation
   17,582 : 25,711 = 25,711 : x
2. Step 2: Convert to fraction form
   17,582/25,711 = 25,711/x
3. Step 3: Cross multiply
   17,582x = 25,711 × 25,711
4. Step 4: Simplify right side
   17,582x = 661,055,521
5. Step 5: Solve for x
   x = 661,055,521/17,582
6. Step 6: Final answer
   x = 37,598.43