Finding the Third Proportional to 5,767.31 and 12,461.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,767.31 : 12,461.06 = 12,461.06 : x
2. Step 2: Convert to fraction form
   5,767.31/12,461.06 = 12,461.06/x
3. Step 3: Cross multiply
   5,767.31x = 12,461.06 × 12,461.06
4. Step 4: Simplify right side
   5,767.31x = 155,278,078.63
5. Step 5: Solve for x
   x = 155,278,078.63/5,767.31
6. Step 6: Final answer
   x = 26,923.82