Finding the Third Proportional to 5,077.88 and 7,616.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.88 : 7,616.63 = 7,616.63 : x
2. Step 2: Convert to fraction form
   5,077.88/7,616.63 = 7,616.63/x
3. Step 3: Cross multiply
   5,077.88x = 7,616.63 × 7,616.63
4. Step 4: Simplify right side
   5,077.88x = 58,012,976.39
5. Step 5: Solve for x
   x = 58,012,976.39/5,077.88
6. Step 6: Final answer
   x = 11,424.66