Finding the Third Proportional to 5,116.50 and 5,979.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.50 : 5,979.38 = 5,979.38 : x
2. Step 2: Convert to fraction form
   5,116.50/5,979.38 = 5,979.38/x
3. Step 3: Cross multiply
   5,116.50x = 5,979.38 × 5,979.38
4. Step 4: Simplify right side
   5,116.50x = 35,752,925.39
5. Step 5: Solve for x
   x = 35,752,925.39/5,116.50
6. Step 6: Final answer
   x = 6,987.77