Finding the Third Proportional to 2,702.81 and 5,837.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,702.81 : 5,837.63 = 5,837.63 : x
2. Step 2: Convert to fraction form
   2,702.81/5,837.63 = 5,837.63/x
3. Step 3: Cross multiply
   2,702.81x = 5,837.63 × 5,837.63
4. Step 4: Simplify right side
   2,702.81x = 34,077,865.64
5. Step 5: Solve for x
   x = 34,077,865.64/2,702.81
6. Step 6: Final answer
   x = 12,608.30