Finding the Third Proportional to 10,825.50 and 23,379

Step by Step Solution

1. Step 1: Write the proportion equation
   10,825.50 : 23,379 = 23,379 : x
2. Step 2: Convert to fraction form
   10,825.50/23,379 = 23,379/x
3. Step 3: Cross multiply
   10,825.50x = 23,379 × 23,379
4. Step 4: Simplify right side
   10,825.50x = 546,577,641
5. Step 5: Solve for x
   x = 546,577,641/10,825.50
6. Step 6: Final answer
   x = 50,489.83