Finding the Third Proportional to 1,191.74 and 2,527.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.74 : 2,527.65 = 2,527.65 : x
2. Step 2: Convert to fraction form
   1,191.74/2,527.65 = 2,527.65/x
3. Step 3: Cross multiply
   1,191.74x = 2,527.65 × 2,527.65
4. Step 4: Simplify right side
   1,191.74x = 6,389,018.97
5. Step 5: Solve for x
   x = 6,389,018.97/1,191.74
6. Step 6: Final answer
   x = 5,361.07