Finding the Third Proportional to 1,298.53 and 2,802.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.53 : 2,802.09 = 2,802.09 : x
2. Step 2: Convert to fraction form
   1,298.53/2,802.09 = 2,802.09/x
3. Step 3: Cross multiply
   1,298.53x = 2,802.09 × 2,802.09
4. Step 4: Simplify right side
   1,298.53x = 7,851,729.38
5. Step 5: Solve for x
   x = 7,851,729.38/1,298.53
6. Step 6: Final answer
   x = 6,046.62