Finding the Third Proportional to 1,191.94 and 1,549.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.94 : 1,549.97 = 1,549.97 : x
2. Step 2: Convert to fraction form
   1,191.94/1,549.97 = 1,549.97/x
3. Step 3: Cross multiply
   1,191.94x = 1,549.97 × 1,549.97
4. Step 4: Simplify right side
   1,191.94x = 2,402,403.13
5. Step 5: Solve for x
   x = 2,402,403.13/1,191.94
6. Step 6: Final answer
   x = 2,015.54