Finding the Third Proportional to 3,580.88 and 7,678.13

Step by Step Solution

1. Step 1: Write the proportion equation
   3,580.88 : 7,678.13 = 7,678.13 : x
2. Step 2: Convert to fraction form
   3,580.88/7,678.13 = 7,678.13/x
3. Step 3: Cross multiply
   3,580.88x = 7,678.13 × 7,678.13
4. Step 4: Simplify right side
   3,580.88x = 58,953,603.52
5. Step 5: Solve for x
   x = 58,953,603.52/3,580.88
6. Step 6: Final answer
   x = 16,463.46