Finding the Third Proportional to 6,974 and 10,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,974 : 10,227.50 = 10,227.50 : x
2. Step 2: Convert to fraction form
   6,974/10,227.50 = 10,227.50/x
3. Step 3: Cross multiply
   6,974x = 10,227.50 × 10,227.50
4. Step 4: Simplify right side
   6,974x = 104,601,756.25
5. Step 5: Solve for x
   x = 104,601,756.25/6,974
6. Step 6: Final answer
   x = 14,998.82