Finding the Third Proportional to 3,775.50 and 7,895.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,775.50 : 7,895.25 = 7,895.25 : x
2. Step 2: Convert to fraction form
   3,775.50/7,895.25 = 7,895.25/x
3. Step 3: Cross multiply
   3,775.50x = 7,895.25 × 7,895.25
4. Step 4: Simplify right side
   3,775.50x = 62,334,972.56
5. Step 5: Solve for x
   x = 62,334,972.56/3,775.50
6. Step 6: Final answer
   x = 16,510.39