Finding the Third Proportional to 1,298.81 and 1,845.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.81 : 1,845.84 = 1,845.84 : x
2. Step 2: Convert to fraction form
   1,298.81/1,845.84 = 1,845.84/x
3. Step 3: Cross multiply
   1,298.81x = 1,845.84 × 1,845.84
4. Step 4: Simplify right side
   1,298.81x = 3,407,139.15
5. Step 5: Solve for x
   x = 3,407,139.15/1,298.81
6. Step 6: Final answer
   x = 2,623.27