Finding the Third Proportional to 1,195 and 1,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,195 : 1,897.50 = 1,897.50 : x
2. Step 2: Convert to fraction form
   1,195/1,897.50 = 1,897.50/x
3. Step 3: Cross multiply
   1,195x = 1,897.50 × 1,897.50
4. Step 4: Simplify right side
   1,195x = 3,600,506.25
5. Step 5: Solve for x
   x = 3,600,506.25/1,195
6. Step 6: Final answer
   x = 3,012.98