Finding the Third Proportional to 2,376.63 and 5,086.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,376.63 : 5,086.25 = 5,086.25 : x
2. Step 2: Convert to fraction form
   2,376.63/5,086.25 = 5,086.25/x
3. Step 3: Cross multiply
   2,376.63x = 5,086.25 × 5,086.25
4. Step 4: Simplify right side
   2,376.63x = 25,869,939.06
5. Step 5: Solve for x
   x = 25,869,939.06/2,376.63
6. Step 6: Final answer
   x = 10,885.16