Finding the Third Proportional to 4,059.75 and 4,796.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,059.75 : 4,796.25 = 4,796.25 : x
2. Step 2: Convert to fraction form
   4,059.75/4,796.25 = 4,796.25/x
3. Step 3: Cross multiply
   4,059.75x = 4,796.25 × 4,796.25
4. Step 4: Simplify right side
   4,059.75x = 23,004,014.06
5. Step 5: Solve for x
   x = 23,004,014.06/4,059.75
6. Step 6: Final answer
   x = 5,666.36