Finding the Third Proportional to 4,136.06 and 4,561.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,136.06 : 4,561.31 = 4,561.31 : x
2. Step 2: Convert to fraction form
   4,136.06/4,561.31 = 4,561.31/x
3. Step 3: Cross multiply
   4,136.06x = 4,561.31 × 4,561.31
4. Step 4: Simplify right side
   4,136.06x = 20,805,571.72
5. Step 5: Solve for x
   x = 20,805,571.72/4,136.06
6. Step 6: Final answer
   x = 5,030.28