Finding the Third Proportional to 5,847 and 13,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,847 : 13,156.50 = 13,156.50 : x
2. Step 2: Convert to fraction form
   5,847/13,156.50 = 13,156.50/x
3. Step 3: Cross multiply
   5,847x = 13,156.50 × 13,156.50
4. Step 4: Simplify right side
   5,847x = 173,093,492.25
5. Step 5: Solve for x
   x = 173,093,492.25/5,847
6. Step 6: Final answer
   x = 29,603.81