Finding the Third Proportional to 5,047.88 and 7,680.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,047.88 : 7,680.38 = 7,680.38 : x
2. Step 2: Convert to fraction form
   5,047.88/7,680.38 = 7,680.38/x
3. Step 3: Cross multiply
   5,047.88x = 7,680.38 × 7,680.38
4. Step 4: Simplify right side
   5,047.88x = 58,988,160.14
5. Step 5: Solve for x
   x = 58,988,160.14/5,047.88
6. Step 6: Final answer
   x = 11,685.74