Finding the Third Proportional to 1,490 and 2,434.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490 : 2,434.25 = 2,434.25 : x
2. Step 2: Convert to fraction form
   1,490/2,434.25 = 2,434.25/x
3. Step 3: Cross multiply
   1,490x = 2,434.25 × 2,434.25
4. Step 4: Simplify right side
   1,490x = 5,925,573.06
5. Step 5: Solve for x
   x = 5,925,573.06/1,490
6. Step 6: Final answer
   x = 3,976.89