Finding the Third Proportional to 1,349.16 and 2,071.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,349.16 : 2,071.83 = 2,071.83 : x
2. Step 2: Convert to fraction form
   1,349.16/2,071.83 = 2,071.83/x
3. Step 3: Cross multiply
   1,349.16x = 2,071.83 × 2,071.83
4. Step 4: Simplify right side
   1,349.16x = 4,292,471.78
5. Step 5: Solve for x
   x = 4,292,471.78/1,349.16
6. Step 6: Final answer
   x = 3,181.60