Finding the Third Proportional to 6,216.75 and 13,658.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,216.75 : 13,658.63 = 13,658.63 : x
2. Step 2: Convert to fraction form
   6,216.75/13,658.63 = 13,658.63/x
3. Step 3: Cross multiply
   6,216.75x = 13,658.63 × 13,658.63
4. Step 4: Simplify right side
   6,216.75x = 186,558,036.89
5. Step 5: Solve for x
   x = 186,558,036.89/6,216.75
6. Step 6: Final answer
   x = 30,008.93