Finding the Third Proportional to 1,730.74 and 2,595.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,730.74 : 2,595.59 = 2,595.59 : x
2. Step 2: Convert to fraction form
   1,730.74/2,595.59 = 2,595.59/x
3. Step 3: Cross multiply
   1,730.74x = 2,595.59 × 2,595.59
4. Step 4: Simplify right side
   1,730.74x = 6,737,066.36
5. Step 5: Solve for x
   x = 6,737,066.36/1,730.74
6. Step 6: Final answer
   x = 3,892.59