Finding the Third Proportional to 10,575 and 24,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,575 : 24,589.50 = 24,589.50 : x
2. Step 2: Convert to fraction form
   10,575/24,589.50 = 24,589.50/x
3. Step 3: Cross multiply
   10,575x = 24,589.50 × 24,589.50
4. Step 4: Simplify right side
   10,575x = 604,643,510.25
5. Step 5: Solve for x
   x = 604,643,510.25/10,575
6. Step 6: Final answer
   x = 57,176.69