Finding the Third Proportional to 1,301.34 and 1,917.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.34 : 1,917.56 = 1,917.56 : x
2. Step 2: Convert to fraction form
   1,301.34/1,917.56 = 1,917.56/x
3. Step 3: Cross multiply
   1,301.34x = 1,917.56 × 1,917.56
4. Step 4: Simplify right side
   1,301.34x = 3,677,045.94
5. Step 5: Solve for x
   x = 3,677,045.94/1,301.34
6. Step 6: Final answer
   x = 2,825.58