Finding the Third Proportional to 5,912.50 and 12,546.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,912.50 : 12,546.25 = 12,546.25 : x
2. Step 2: Convert to fraction form
   5,912.50/12,546.25 = 12,546.25/x
3. Step 3: Cross multiply
   5,912.50x = 12,546.25 × 12,546.25
4. Step 4: Simplify right side
   5,912.50x = 157,408,389.06
5. Step 5: Solve for x
   x = 157,408,389.06/5,912.50
6. Step 6: Final answer
   x = 26,622.98