Finding the Third Proportional to 6,333.75 and 9,601.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,333.75 : 9,601.88 = 9,601.88 : x
2. Step 2: Convert to fraction form
   6,333.75/9,601.88 = 9,601.88/x
3. Step 3: Cross multiply
   6,333.75x = 9,601.88 × 9,601.88
4. Step 4: Simplify right side
   6,333.75x = 92,196,003.52
5. Step 5: Solve for x
   x = 92,196,003.52/6,333.75
6. Step 6: Final answer
   x = 14,556.31