Finding the Third Proportional to 5,013.56 and 7,799.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,013.56 : 7,799.63 = 7,799.63 : x
2. Step 2: Convert to fraction form
   5,013.56/7,799.63 = 7,799.63/x
3. Step 3: Cross multiply
   5,013.56x = 7,799.63 × 7,799.63
4. Step 4: Simplify right side
   5,013.56x = 60,834,150.14
5. Step 5: Solve for x
   x = 60,834,150.14/5,013.56
6. Step 6: Final answer
   x = 12,133.92