Finding the Third Proportional to 4,834 and 7,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,834 : 7,662.50 = 7,662.50 : x
2. Step 2: Convert to fraction form
   4,834/7,662.50 = 7,662.50/x
3. Step 3: Cross multiply
   4,834x = 7,662.50 × 7,662.50
4. Step 4: Simplify right side
   4,834x = 58,713,906.25
5. Step 5: Solve for x
   x = 58,713,906.25/4,834
6. Step 6: Final answer
   x = 12,146.03