Finding the Third Proportional to 2,376.84 and 5,086.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,376.84 : 5,086.55 = 5,086.55 : x
2. Step 2: Convert to fraction form
   2,376.84/5,086.55 = 5,086.55/x
3. Step 3: Cross multiply
   2,376.84x = 5,086.55 × 5,086.55
4. Step 4: Simplify right side
   2,376.84x = 25,872,959.11
5. Step 5: Solve for x
   x = 25,872,959.11/2,376.84
6. Step 6: Final answer
   x = 10,885.43