Finding the Third Proportional to 2,495.50 and 3,775.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,495.50 : 3,775.88 = 3,775.88 : x
2. Step 2: Convert to fraction form
   2,495.50/3,775.88 = 3,775.88/x
3. Step 3: Cross multiply
   2,495.50x = 3,775.88 × 3,775.88
4. Step 4: Simplify right side
   2,495.50x = 14,257,232.02
5. Step 5: Solve for x
   x = 14,257,232.02/2,495.50
6. Step 6: Final answer
   x = 5,713.18