Finding the Third Proportional to 5,086.13 and 7,259.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,086.13 : 7,259.63 = 7,259.63 : x
2. Step 2: Convert to fraction form
   5,086.13/7,259.63 = 7,259.63/x
3. Step 3: Cross multiply
   5,086.13x = 7,259.63 × 7,259.63
4. Step 4: Simplify right side
   5,086.13x = 52,702,155.14
5. Step 5: Solve for x
   x = 52,702,155.14/5,086.13
6. Step 6: Final answer
   x = 10,361.95