Finding the Third Proportional to 2,365.38 and 5,091.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365.38 : 5,091.63 = 5,091.63 : x
2. Step 2: Convert to fraction form
   2,365.38/5,091.63 = 5,091.63/x
3. Step 3: Cross multiply
   2,365.38x = 5,091.63 × 5,091.63
4. Step 4: Simplify right side
   2,365.38x = 25,924,645.14
5. Step 5: Solve for x
   x = 25,924,645.14/2,365.38
6. Step 6: Final answer
   x = 10,960.06