Finding the Third Proportional to 1,593.84 and 3,470.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,593.84 : 3,470.77 = 3,470.77 : x
2. Step 2: Convert to fraction form
   1,593.84/3,470.77 = 3,470.77/x
3. Step 3: Cross multiply
   1,593.84x = 3,470.77 × 3,470.77
4. Step 4: Simplify right side
   1,593.84x = 12,046,214.02
5. Step 5: Solve for x
   x = 12,046,214.02/1,593.84
6. Step 6: Final answer
   x = 7,557.96