Finding the Third Proportional to 1,765.13 and 2,734.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,765.13 : 2,734.59 = 2,734.59 : x
2. Step 2: Convert to fraction form
   1,765.13/2,734.59 = 2,734.59/x
3. Step 3: Cross multiply
   1,765.13x = 2,734.59 × 2,734.59
4. Step 4: Simplify right side
   1,765.13x = 7,478,002.98
5. Step 5: Solve for x
   x = 7,478,002.98/1,765.13
6. Step 6: Final answer
   x = 4,236.53