Finding the Third Proportional to 10,429.25 and 24,405.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.25 : 24,405.75 = 24,405.75 : x
2. Step 2: Convert to fraction form
   10,429.25/24,405.75 = 24,405.75/x
3. Step 3: Cross multiply
   10,429.25x = 24,405.75 × 24,405.75
4. Step 4: Simplify right side
   10,429.25x = 595,640,633.06
5. Step 5: Solve for x
   x = 595,640,633.06/10,429.25
6. Step 6: Final answer
   x = 57,112.51