Finding the Third Proportional to 1,188.42 and 1,760.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.42 : 1,760.06 = 1,760.06 : x
2. Step 2: Convert to fraction form
   1,188.42/1,760.06 = 1,760.06/x
3. Step 3: Cross multiply
   1,188.42x = 1,760.06 × 1,760.06
4. Step 4: Simplify right side
   1,188.42x = 3,097,820.00
5. Step 5: Solve for x
   x = 3,097,820.00/1,188.42
6. Step 6: Final answer
   x = 2,606.67