Finding the Third Proportional to 2,802.75 and 5,891.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,802.75 : 5,891.63 = 5,891.63 : x
2. Step 2: Convert to fraction form
   2,802.75/5,891.63 = 5,891.63/x
3. Step 3: Cross multiply
   2,802.75x = 5,891.63 × 5,891.63
4. Step 4: Simplify right side
   2,802.75x = 34,711,245.14
5. Step 5: Solve for x
   x = 34,711,245.14/2,802.75
6. Step 6: Final answer
   x = 12,384.71