Finding the Third Proportional to 2,530.62 and 3,802.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530.62 : 3,802.57 = 3,802.57 : x
2. Step 2: Convert to fraction form
   2,530.62/3,802.57 = 3,802.57/x
3. Step 3: Cross multiply
   2,530.62x = 3,802.57 × 3,802.57
4. Step 4: Simplify right side
   2,530.62x = 14,459,540.98
5. Step 5: Solve for x
   x = 14,459,540.98/2,530.62
6. Step 6: Final answer
   x = 5,713.84