Finding the Third Proportional to 2,623.76 and 4,004.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,623.76 : 4,004.52 = 4,004.52 : x
2. Step 2: Convert to fraction form
   2,623.76/4,004.52 = 4,004.52/x
3. Step 3: Cross multiply
   2,623.76x = 4,004.52 × 4,004.52
4. Step 4: Simplify right side
   2,623.76x = 16,036,153.21
5. Step 5: Solve for x
   x = 16,036,153.21/2,623.76
6. Step 6: Final answer
   x = 6,111.90