Finding the Third Proportional to 2,269.69 and 4,210.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.69 : 4,210.31 = 4,210.31 : x
2. Step 2: Convert to fraction form
   2,269.69/4,210.31 = 4,210.31/x
3. Step 3: Cross multiply
   2,269.69x = 4,210.31 × 4,210.31
4. Step 4: Simplify right side
   2,269.69x = 17,726,731.35
5. Step 5: Solve for x
   x = 17,726,731.35/2,269.69
6. Step 6: Final answer
   x = 7,810.21