Finding the Third Proportional to 1,008.07 and 1,147.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.07 : 1,147.61 = 1,147.61 : x
2. Step 2: Convert to fraction form
   1,008.07/1,147.61 = 1,147.61/x
3. Step 3: Cross multiply
   1,008.07x = 1,147.61 × 1,147.61
4. Step 4: Simplify right side
   1,008.07x = 1,316,998.31
5. Step 5: Solve for x
   x = 1,316,998.31/1,008.07
6. Step 6: Final answer
   x = 1,306.45