Finding the Third Proportional to 1,490.13 and 1,764.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.13 : 1,764.63 = 1,764.63 : x
2. Step 2: Convert to fraction form
   1,490.13/1,764.63 = 1,764.63/x
3. Step 3: Cross multiply
   1,490.13x = 1,764.63 × 1,764.63
4. Step 4: Simplify right side
   1,490.13x = 3,113,901.39
5. Step 5: Solve for x
   x = 3,113,901.39/1,490.13
6. Step 6: Final answer
   x = 2,089.69