Finding the Third Proportional to 12,582 and 18,525.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,582 : 18,525.38 = 18,525.38 : x
2. Step 2: Convert to fraction form
   12,582/18,525.38 = 18,525.38/x
3. Step 3: Cross multiply
   12,582x = 18,525.38 × 18,525.38
4. Step 4: Simplify right side
   12,582x = 343,189,518.89
5. Step 5: Solve for x
   x = 343,189,518.89/12,582
6. Step 6: Final answer
   x = 27,276.23