Finding the Third Proportional to 2,625 and 3,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,625 : 3,795.50 = 3,795.50 : x
2. Step 2: Convert to fraction form
   2,625/3,795.50 = 3,795.50/x
3. Step 3: Cross multiply
   2,625x = 3,795.50 × 3,795.50
4. Step 4: Simplify right side
   2,625x = 14,405,820.25
5. Step 5: Solve for x
   x = 14,405,820.25/2,625
6. Step 6: Final answer
   x = 5,487.93