Finding the Third Proportional to 10,185.75 and 24,535.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.75 : 24,535.41 = 24,535.41 : x
2. Step 2: Convert to fraction form
   10,185.75/24,535.41 = 24,535.41/x
3. Step 3: Cross multiply
   10,185.75x = 24,535.41 × 24,535.41
4. Step 4: Simplify right side
   10,185.75x = 601,986,159.85
5. Step 5: Solve for x
   x = 601,986,159.85/10,185.75
6. Step 6: Final answer
   x = 59,100.82