Finding the Third Proportional to 1,638.56 and 2,594.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.56 : 2,594.53 = 2,594.53 : x
2. Step 2: Convert to fraction form
   1,638.56/2,594.53 = 2,594.53/x
3. Step 3: Cross multiply
   1,638.56x = 2,594.53 × 2,594.53
4. Step 4: Simplify right side
   1,638.56x = 6,731,592.41
5. Step 5: Solve for x
   x = 6,731,592.41/1,638.56
6. Step 6: Final answer
   x = 4,108.23