Finding the Third Proportional to 4,294.69 and 5,510.53

Step by Step Solution

1. Step 1: Write the proportion equation
   4,294.69 : 5,510.53 = 5,510.53 : x
2. Step 2: Convert to fraction form
   4,294.69/5,510.53 = 5,510.53/x
3. Step 3: Cross multiply
   4,294.69x = 5,510.53 × 5,510.53
4. Step 4: Simplify right side
   4,294.69x = 30,365,954.66
5. Step 5: Solve for x
   x = 30,365,954.66/4,294.69
6. Step 6: Final answer
   x = 7,070.59