Finding the Third Proportional to 2,146.31 and 4,702.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.31 : 4,702.69 = 4,702.69 : x
2. Step 2: Convert to fraction form
   2,146.31/4,702.69 = 4,702.69/x
3. Step 3: Cross multiply
   2,146.31x = 4,702.69 × 4,702.69
4. Step 4: Simplify right side
   2,146.31x = 22,115,269.72
5. Step 5: Solve for x
   x = 22,115,269.72/2,146.31
6. Step 6: Final answer
   x = 10,303.84