Finding the Third Proportional to 2,702.25 and 5,729.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,702.25 : 5,729.91 = 5,729.91 : x
2. Step 2: Convert to fraction form
   2,702.25/5,729.91 = 5,729.91/x
3. Step 3: Cross multiply
   2,702.25x = 5,729.91 × 5,729.91
4. Step 4: Simplify right side
   2,702.25x = 32,831,825.63
5. Step 5: Solve for x
   x = 32,831,825.63/2,702.25
6. Step 6: Final answer
   x = 12,149.81