Finding the Third Proportional to 1,008.75 and 1,345.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.75 : 1,345.88 = 1,345.88 : x
2. Step 2: Convert to fraction form
   1,008.75/1,345.88 = 1,345.88/x
3. Step 3: Cross multiply
   1,008.75x = 1,345.88 × 1,345.88
4. Step 4: Simplify right side
   1,008.75x = 1,811,379.52
5. Step 5: Solve for x
   x = 1,811,379.52/1,008.75
6. Step 6: Final answer
   x = 1,795.67