Finding the Third Proportional to 5,886.42 and 12,705.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,886.42 : 12,705.61 = 12,705.61 : x
2. Step 2: Convert to fraction form
   5,886.42/12,705.61 = 12,705.61/x
3. Step 3: Cross multiply
   5,886.42x = 12,705.61 × 12,705.61
4. Step 4: Simplify right side
   5,886.42x = 161,432,509.59
5. Step 5: Solve for x
   x = 161,432,509.59/5,886.42
6. Step 6: Final answer
   x = 27,424.56