Finding the Third Proportional to 1,188.42 and 1,729.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.42 : 1,729.48 = 1,729.48 : x
2. Step 2: Convert to fraction form
   1,188.42/1,729.48 = 1,729.48/x
3. Step 3: Cross multiply
   1,188.42x = 1,729.48 × 1,729.48
4. Step 4: Simplify right side
   1,188.42x = 2,991,089.18
5. Step 5: Solve for x
   x = 2,991,089.18/1,188.42
6. Step 6: Final answer
   x = 2,516.86