Finding the Third Proportional to 1,007.50 and 1,192

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.50 : 1,192 = 1,192 : x
2. Step 2: Convert to fraction form
   1,007.50/1,192 = 1,192/x
3. Step 3: Cross multiply
   1,007.50x = 1,192 × 1,192
4. Step 4: Simplify right side
   1,007.50x = 1,420,864
5. Step 5: Solve for x
   x = 1,420,864/1,007.50
6. Step 6: Final answer
   x = 1,410.29