Finding the Third Proportional to 5,086.86 and 7,776.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,086.86 : 7,776.63 = 7,776.63 : x
2. Step 2: Convert to fraction form
   5,086.86/7,776.63 = 7,776.63/x
3. Step 3: Cross multiply
   5,086.86x = 7,776.63 × 7,776.63
4. Step 4: Simplify right side
   5,086.86x = 60,476,017.90
5. Step 5: Solve for x
   x = 60,476,017.90/5,086.86
6. Step 6: Final answer
   x = 11,888.67