Finding the Third Proportional to 1,188.42 and 1,953.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.42 : 1,953.49 = 1,953.49 : x
2. Step 2: Convert to fraction form
   1,188.42/1,953.49 = 1,953.49/x
3. Step 3: Cross multiply
   1,188.42x = 1,953.49 × 1,953.49
4. Step 4: Simplify right side
   1,188.42x = 3,816,131.73
5. Step 5: Solve for x
   x = 3,816,131.73/1,188.42
6. Step 6: Final answer
   x = 3,211.09