Finding the Third Proportional to 12,582 and 17,885.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,582 : 17,885.25 = 17,885.25 : x
2. Step 2: Convert to fraction form
   12,582/17,885.25 = 17,885.25/x
3. Step 3: Cross multiply
   12,582x = 17,885.25 × 17,885.25
4. Step 4: Simplify right side
   12,582x = 319,882,167.56
5. Step 5: Solve for x
   x = 319,882,167.56/12,582
6. Step 6: Final answer
   x = 25,423.79