Finding the Third Proportional to 5,429.53 and 12,563.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,429.53 : 12,563.86 = 12,563.86 : x
2. Step 2: Convert to fraction form
   5,429.53/12,563.86 = 12,563.86/x
3. Step 3: Cross multiply
   5,429.53x = 12,563.86 × 12,563.86
4. Step 4: Simplify right side
   5,429.53x = 157,850,562.39
5. Step 5: Solve for x
   x = 157,850,562.39/5,429.53
6. Step 6: Final answer
   x = 29,072.59