Finding the Third Proportional to 1,589.63 and 3,477.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.63 : 3,477.38 = 3,477.38 : x
2. Step 2: Convert to fraction form
   1,589.63/3,477.38 = 3,477.38/x
3. Step 3: Cross multiply
   1,589.63x = 3,477.38 × 3,477.38
4. Step 4: Simplify right side
   1,589.63x = 12,092,136.89
5. Step 5: Solve for x
   x = 12,092,136.89/1,589.63
6. Step 6: Final answer
   x = 7,606.91