Finding the Third Proportional to 1,775.75 and 3,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,775.75 : 3,875.50 = 3,875.50 : x
2. Step 2: Convert to fraction form
   1,775.75/3,875.50 = 3,875.50/x
3. Step 3: Cross multiply
   1,775.75x = 3,875.50 × 3,875.50
4. Step 4: Simplify right side
   1,775.75x = 15,019,500.25
5. Step 5: Solve for x
   x = 15,019,500.25/1,775.75
6. Step 6: Final answer
   x = 8,458.12