Finding the Third Proportional to 10,582 and 22,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582 : 22,759.50 = 22,759.50 : x
2. Step 2: Convert to fraction form
   10,582/22,759.50 = 22,759.50/x
3. Step 3: Cross multiply
   10,582x = 22,759.50 × 22,759.50
4. Step 4: Simplify right side
   10,582x = 517,994,840.25
5. Step 5: Solve for x
   x = 517,994,840.25/10,582
6. Step 6: Final answer
   x = 48,950.56