Finding the Third Proportional to 6,242.63 and 13,741.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,242.63 : 13,741.88 = 13,741.88 : x
2. Step 2: Convert to fraction form
   6,242.63/13,741.88 = 13,741.88/x
3. Step 3: Cross multiply
   6,242.63x = 13,741.88 × 13,741.88
4. Step 4: Simplify right side
   6,242.63x = 188,839,128.52
5. Step 5: Solve for x
   x = 188,839,128.52/6,242.63
6. Step 6: Final answer
   x = 30,249.96