Finding the Third Proportional to 2,134.13 and 4,657.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,134.13 : 4,657.31 = 4,657.31 : x
2. Step 2: Convert to fraction form
   2,134.13/4,657.31 = 4,657.31/x
3. Step 3: Cross multiply
   2,134.13x = 4,657.31 × 4,657.31
4. Step 4: Simplify right side
   2,134.13x = 21,690,559.72
5. Step 5: Solve for x
   x = 21,690,559.72/2,134.13
6. Step 6: Final answer
   x = 10,163.68