Finding the Third Proportional to 3,463.88 and 7,641.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,463.88 : 7,641.56 = 7,641.56 : x
2. Step 2: Convert to fraction form
   3,463.88/7,641.56 = 7,641.56/x
3. Step 3: Cross multiply
   3,463.88x = 7,641.56 × 7,641.56
4. Step 4: Simplify right side
   3,463.88x = 58,393,477.44
5. Step 5: Solve for x
   x = 58,393,477.44/3,463.88
6. Step 6: Final answer
   x = 16,857.85