Finding the Third Proportional to 1,781.16 and 2,764.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,781.16 : 2,764.76 = 2,764.76 : x
2. Step 2: Convert to fraction form
   1,781.16/2,764.76 = 2,764.76/x
3. Step 3: Cross multiply
   1,781.16x = 2,764.76 × 2,764.76
4. Step 4: Simplify right side
   1,781.16x = 7,643,885.76
5. Step 5: Solve for x
   x = 7,643,885.76/1,781.16
6. Step 6: Final answer
   x = 4,291.53