Finding the Third Proportional to 5,102.25 and 7,799.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,102.25 : 7,799.72 = 7,799.72 : x
2. Step 2: Convert to fraction form
   5,102.25/7,799.72 = 7,799.72/x
3. Step 3: Cross multiply
   5,102.25x = 7,799.72 × 7,799.72
4. Step 4: Simplify right side
   5,102.25x = 60,835,612.58
5. Step 5: Solve for x
   x = 60,835,612.58/5,102.25
6. Step 6: Final answer
   x = 11,923.29