Finding the Third Proportional to 5,958.56 and 12,848.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,958.56 : 12,848.63 = 12,848.63 : x
2. Step 2: Convert to fraction form
   5,958.56/12,848.63 = 12,848.63/x
3. Step 3: Cross multiply
   5,958.56x = 12,848.63 × 12,848.63
4. Step 4: Simplify right side
   5,958.56x = 165,087,164.39
5. Step 5: Solve for x
   x = 165,087,164.39/5,958.56
6. Step 6: Final answer
   x = 27,705.87