Finding the Third Proportional to 2,802.09 and 3,741.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,802.09 : 3,741.82 = 3,741.82 : x
2. Step 2: Convert to fraction form
   2,802.09/3,741.82 = 3,741.82/x
3. Step 3: Cross multiply
   2,802.09x = 3,741.82 × 3,741.82
4. Step 4: Simplify right side
   2,802.09x = 14,001,219.25
5. Step 5: Solve for x
   x = 14,001,219.25/2,802.09
6. Step 6: Final answer
   x = 4,996.70