Finding the Third Proportional to 5,916 and 12,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,916 : 12,853.50 = 12,853.50 : x
2. Step 2: Convert to fraction form
   5,916/12,853.50 = 12,853.50/x
3. Step 3: Cross multiply
   5,916x = 12,853.50 × 12,853.50
4. Step 4: Simplify right side
   5,916x = 165,212,462.25
5. Step 5: Solve for x
   x = 165,212,462.25/5,916
6. Step 6: Final answer
   x = 27,926.38