Finding the Third Proportional to 5,194.13 and 7,507.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,194.13 : 7,507.69 = 7,507.69 : x
2. Step 2: Convert to fraction form
   5,194.13/7,507.69 = 7,507.69/x
3. Step 3: Cross multiply
   5,194.13x = 7,507.69 × 7,507.69
4. Step 4: Simplify right side
   5,194.13x = 56,365,371.60
5. Step 5: Solve for x
   x = 56,365,371.60/5,194.13
6. Step 6: Final answer
   x = 10,851.75