Finding the Third Proportional to 5,840.25 and 13,142.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,840.25 : 13,142.63 = 13,142.63 : x
2. Step 2: Convert to fraction form
   5,840.25/13,142.63 = 13,142.63/x
3. Step 3: Cross multiply
   5,840.25x = 13,142.63 × 13,142.63
4. Step 4: Simplify right side
   5,840.25x = 172,728,591.89
5. Step 5: Solve for x
   x = 172,728,591.89/5,840.25
6. Step 6: Final answer
   x = 29,575.55