Finding the Third Proportional to 1,192 and 1,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192 : 1,897.50 = 1,897.50 : x
2. Step 2: Convert to fraction form
   1,192/1,897.50 = 1,897.50/x
3. Step 3: Cross multiply
   1,192x = 1,897.50 × 1,897.50
4. Step 4: Simplify right side
   1,192x = 3,600,506.25
5. Step 5: Solve for x
   x = 3,600,506.25/1,192
6. Step 6: Final answer
   x = 3,020.56