Finding the Third Proportional to 1,611.56 and 2,427.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,611.56 : 2,427.47 = 2,427.47 : x
2. Step 2: Convert to fraction form
   1,611.56/2,427.47 = 2,427.47/x
3. Step 3: Cross multiply
   1,611.56x = 2,427.47 × 2,427.47
4. Step 4: Simplify right side
   1,611.56x = 5,892,604.53
5. Step 5: Solve for x
   x = 5,892,604.53/1,611.56
6. Step 6: Final answer
   x = 3,656.45