Finding the Third Proportional to 2,178.38 and 4,796.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.38 : 4,796.63 = 4,796.63 : x
2. Step 2: Convert to fraction form
   2,178.38/4,796.63 = 4,796.63/x
3. Step 3: Cross multiply
   2,178.38x = 4,796.63 × 4,796.63
4. Step 4: Simplify right side
   2,178.38x = 23,007,611.39
5. Step 5: Solve for x
   x = 23,007,611.39/2,178.38
6. Step 6: Final answer
   x = 10,561.82