Finding the Third Proportional to 10,423 and 24,589.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,423 : 24,589.25 = 24,589.25 : x
2. Step 2: Convert to fraction form
   10,423/24,589.25 = 24,589.25/x
3. Step 3: Cross multiply
   10,423x = 24,589.25 × 24,589.25
4. Step 4: Simplify right side
   10,423x = 604,631,215.56
5. Step 5: Solve for x
   x = 604,631,215.56/10,423
6. Step 6: Final answer
   x = 58,009.33