Finding the Third Proportional to 2,126.06 and 4,672.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,126.06 : 4,672.31 = 4,672.31 : x
2. Step 2: Convert to fraction form
   2,126.06/4,672.31 = 4,672.31/x
3. Step 3: Cross multiply
   2,126.06x = 4,672.31 × 4,672.31
4. Step 4: Simplify right side
   2,126.06x = 21,830,504.10
5. Step 5: Solve for x
   x = 21,830,504.10/2,126.06
6. Step 6: Final answer
   x = 10,268.04