Finding the Third Proportional to 10,582.50 and 15,546.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.50 : 15,546.38 = 15,546.38 : x
2. Step 2: Convert to fraction form
   10,582.50/15,546.38 = 15,546.38/x
3. Step 3: Cross multiply
   10,582.50x = 15,546.38 × 15,546.38
4. Step 4: Simplify right side
   10,582.50x = 241,689,775.64
5. Step 5: Solve for x
   x = 241,689,775.64/10,582.50
6. Step 6: Final answer
   x = 22,838.63