Finding the Third Proportional to 1,007.25 and 1,191.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.25 : 1,191.75 = 1,191.75 : x
2. Step 2: Convert to fraction form
   1,007.25/1,191.75 = 1,191.75/x
3. Step 3: Cross multiply
   1,007.25x = 1,191.75 × 1,191.75
4. Step 4: Simplify right side
   1,007.25x = 1,420,268.06
5. Step 5: Solve for x
   x = 1,420,268.06/1,007.25
6. Step 6: Final answer
   x = 1,410.05