Finding the Third Proportional to 3,472.88 and 7,638.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,472.88 : 7,638.75 = 7,638.75 : x
2. Step 2: Convert to fraction form
   3,472.88/7,638.75 = 7,638.75/x
3. Step 3: Cross multiply
   3,472.88x = 7,638.75 × 7,638.75
4. Step 4: Simplify right side
   3,472.88x = 58,350,501.56
5. Step 5: Solve for x
   x = 58,350,501.56/3,472.88
6. Step 6: Final answer
   x = 16,801.79