Finding the Third Proportional to 1,592.16 and 3,490.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,592.16 : 3,490.59 = 3,490.59 : x
2. Step 2: Convert to fraction form
   1,592.16/3,490.59 = 3,490.59/x
3. Step 3: Cross multiply
   1,592.16x = 3,490.59 × 3,490.59
4. Step 4: Simplify right side
   1,592.16x = 12,184,244.73
5. Step 5: Solve for x
   x = 12,184,244.73/1,592.16
6. Step 6: Final answer
   x = 7,652.67