Finding the Third Proportional to 1,298.53 and 2,810.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.53 : 2,810.32 = 2,810.32 : x
2. Step 2: Convert to fraction form
   1,298.53/2,810.32 = 2,810.32/x
3. Step 3: Cross multiply
   1,298.53x = 2,810.32 × 2,810.32
4. Step 4: Simplify right side
   1,298.53x = 7,897,900.26
5. Step 5: Solve for x
   x = 7,897,900.26/1,298.53
6. Step 6: Final answer
   x = 6,082.18