Finding the Third Proportional to 3,101.25 and 4,796.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,101.25 : 4,796.63 = 4,796.63 : x
2. Step 2: Convert to fraction form
   3,101.25/4,796.63 = 4,796.63/x
3. Step 3: Cross multiply
   3,101.25x = 4,796.63 × 4,796.63
4. Step 4: Simplify right side
   3,101.25x = 23,007,611.39
5. Step 5: Solve for x
   x = 23,007,611.39/3,101.25
6. Step 6: Final answer
   x = 7,418.82