Finding the Third Proportional to 10,582.31 and 22,570.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.31 : 22,570.88 = 22,570.88 : x
2. Step 2: Convert to fraction form
   10,582.31/22,570.88 = 22,570.88/x
3. Step 3: Cross multiply
   10,582.31x = 22,570.88 × 22,570.88
4. Step 4: Simplify right side
   10,582.31x = 509,444,398.27
5. Step 5: Solve for x
   x = 509,444,398.27/10,582.31
6. Step 6: Final answer
   x = 48,141.12