Finding the Third Proportional to 2,080.69 and 5,463.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.69 : 5,463.70 = 5,463.70 : x
2. Step 2: Convert to fraction form
   2,080.69/5,463.70 = 5,463.70/x
3. Step 3: Cross multiply
   2,080.69x = 5,463.70 × 5,463.70
4. Step 4: Simplify right side
   2,080.69x = 29,852,051.84
5. Step 5: Solve for x
   x = 29,852,051.84/2,080.69
6. Step 6: Final answer
   x = 14,347.21