Finding the Third Proportional to 4,967.25 and 7,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,967.25 : 7,906.50 = 7,906.50 : x
2. Step 2: Convert to fraction form
   4,967.25/7,906.50 = 7,906.50/x
3. Step 3: Cross multiply
   4,967.25x = 7,906.50 × 7,906.50
4. Step 4: Simplify right side
   4,967.25x = 62,512,742.25
5. Step 5: Solve for x
   x = 62,512,742.25/4,967.25
6. Step 6: Final answer
   x = 12,584.98