Finding the Third Proportional to 1,596.63 and 2,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,596.63 : 2,638.50 = 2,638.50 : x
2. Step 2: Convert to fraction form
   1,596.63/2,638.50 = 2,638.50/x
3. Step 3: Cross multiply
   1,596.63x = 2,638.50 × 2,638.50
4. Step 4: Simplify right side
   1,596.63x = 6,961,682.25
5. Step 5: Solve for x
   x = 6,961,682.25/1,596.63
6. Step 6: Final answer
   x = 4,360.25