Finding the Third Proportional to 1,490.91 and 1,641.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.91 : 1,641.09 = 1,641.09 : x
2. Step 2: Convert to fraction form
   1,490.91/1,641.09 = 1,641.09/x
3. Step 3: Cross multiply
   1,490.91x = 1,641.09 × 1,641.09
4. Step 4: Simplify right side
   1,490.91x = 2,693,188.70
5. Step 5: Solve for x
   x = 2,693,188.70/1,490.91
6. Step 6: Final answer
   x = 1,806.41