Finding the Third Proportional to 5,211 and 12,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,211 : 12,523.50 = 12,523.50 : x
2. Step 2: Convert to fraction form
   5,211/12,523.50 = 12,523.50/x
3. Step 3: Cross multiply
   5,211x = 12,523.50 × 12,523.50
4. Step 4: Simplify right side
   5,211x = 156,838,052.25
5. Step 5: Solve for x
   x = 156,838,052.25/5,211
6. Step 6: Final answer
   x = 30,097.50