Finding the Third Proportional to 1,071.67 and 2,348.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.67 : 2,348.37 = 2,348.37 : x
2. Step 2: Convert to fraction form
   1,071.67/2,348.37 = 2,348.37/x
3. Step 3: Cross multiply
   1,071.67x = 2,348.37 × 2,348.37
4. Step 4: Simplify right side
   1,071.67x = 5,514,828.45
5. Step 5: Solve for x
   x = 5,514,828.45/1,071.67
6. Step 6: Final answer
   x = 5,146.02