Finding the Third Proportional to 1,167.38 and 1,759.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,167.38 : 1,759.88 = 1,759.88 : x
2. Step 2: Convert to fraction form
   1,167.38/1,759.88 = 1,759.88/x
3. Step 3: Cross multiply
   1,167.38x = 1,759.88 × 1,759.88
4. Step 4: Simplify right side
   1,167.38x = 3,097,160.02
5. Step 5: Solve for x
   x = 3,097,160.02/1,167.38
6. Step 6: Final answer
   x = 2,653.10