Finding the Third Proportional to 10,582.31 and 22,622.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.31 : 22,622.63 = 22,622.63 : x
2. Step 2: Convert to fraction form
   10,582.31/22,622.63 = 22,622.63/x
3. Step 3: Cross multiply
   10,582.31x = 22,622.63 × 22,622.63
4. Step 4: Simplify right side
   10,582.31x = 511,783,161.89
5. Step 5: Solve for x
   x = 511,783,161.89/10,582.31
6. Step 6: Final answer
   x = 48,362.13