Finding the Third Proportional to 4,294.69 and 4,699.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,294.69 : 4,699.69 = 4,699.69 : x
2. Step 2: Convert to fraction form
   4,294.69/4,699.69 = 4,699.69/x
3. Step 3: Cross multiply
   4,294.69x = 4,699.69 × 4,699.69
4. Step 4: Simplify right side
   4,294.69x = 22,087,062.60
5. Step 5: Solve for x
   x = 22,087,062.60/4,294.69
6. Step 6: Final answer
   x = 5,142.88