Finding the Third Proportional to 12,165.75 and 17,582.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,165.75 : 17,582.63 = 17,582.63 : x
2. Step 2: Convert to fraction form
   12,165.75/17,582.63 = 17,582.63/x
3. Step 3: Cross multiply
   12,165.75x = 17,582.63 × 17,582.63
4. Step 4: Simplify right side
   12,165.75x = 309,148,701.89
5. Step 5: Solve for x
   x = 309,148,701.89/12,165.75
6. Step 6: Final answer
   x = 25,411.40