Finding the Third Proportional to 6,665.63 and 9,630.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,665.63 : 9,630.56 = 9,630.56 : x
2. Step 2: Convert to fraction form
   6,665.63/9,630.56 = 9,630.56/x
3. Step 3: Cross multiply
   6,665.63x = 9,630.56 × 9,630.56
4. Step 4: Simplify right side
   6,665.63x = 92,747,734.07
5. Step 5: Solve for x
   x = 92,747,734.07/6,665.63
6. Step 6: Final answer
   x = 13,914.33