Finding the Third Proportional to 6,812.50 and 9,155

Step by Step Solution

1. Step 1: Write the proportion equation
   6,812.50 : 9,155 = 9,155 : x
2. Step 2: Convert to fraction form
   6,812.50/9,155 = 9,155/x
3. Step 3: Cross multiply
   6,812.50x = 9,155 × 9,155
4. Step 4: Simplify right side
   6,812.50x = 83,814,025
5. Step 5: Solve for x
   x = 83,814,025/6,812.50
6. Step 6: Final answer
   x = 12,302.98