Finding the Third Proportional to 1,298.53 and 2,437.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.53 : 2,437.59 = 2,437.59 : x
2. Step 2: Convert to fraction form
   1,298.53/2,437.59 = 2,437.59/x
3. Step 3: Cross multiply
   1,298.53x = 2,437.59 × 2,437.59
4. Step 4: Simplify right side
   1,298.53x = 5,941,863.29
5. Step 5: Solve for x
   x = 5,941,863.29/1,298.53
6. Step 6: Final answer
   x = 4,575.83