Finding the Third Proportional to 1,901.50 and 3,895.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,901.50 : 3,895.50 = 3,895.50 : x
2. Step 2: Convert to fraction form
   1,901.50/3,895.50 = 3,895.50/x
3. Step 3: Cross multiply
   1,901.50x = 3,895.50 × 3,895.50
4. Step 4: Simplify right side
   1,901.50x = 15,174,920.25
5. Step 5: Solve for x
   x = 15,174,920.25/1,901.50
6. Step 6: Final answer
   x = 7,980.50