Finding the Third Proportional to 6,377.63 and 13,885.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,377.63 : 13,885.88 = 13,885.88 : x
2. Step 2: Convert to fraction form
   6,377.63/13,885.88 = 13,885.88/x
3. Step 3: Cross multiply
   6,377.63x = 13,885.88 × 13,885.88
4. Step 4: Simplify right side
   6,377.63x = 192,817,524.52
5. Step 5: Solve for x
   x = 192,817,524.52/6,377.63
6. Step 6: Final answer
   x = 30,233.44