Finding the Third Proportional to 1,901.25 and 2,558.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,901.25 : 2,558.81 = 2,558.81 : x
2. Step 2: Convert to fraction form
   1,901.25/2,558.81 = 2,558.81/x
3. Step 3: Cross multiply
   1,901.25x = 2,558.81 × 2,558.81
4. Step 4: Simplify right side
   1,901.25x = 6,547,521.41
5. Step 5: Solve for x
   x = 6,547,521.41/1,901.25
6. Step 6: Final answer
   x = 3,443.80