Finding the Third Proportional to 7,647.75 and 15,877.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,647.75 : 15,877.69 = 15,877.69 : x
2. Step 2: Convert to fraction form
   7,647.75/15,877.69 = 15,877.69/x
3. Step 3: Cross multiply
   7,647.75x = 15,877.69 × 15,877.69
4. Step 4: Simplify right side
   7,647.75x = 252,100,960.35
5. Step 5: Solve for x
   x = 252,100,960.35/7,647.75
6. Step 6: Final answer
   x = 32,964.07