Finding the Third Proportional to 6,972 and 10,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,972 : 10,204.50 = 10,204.50 : x
2. Step 2: Convert to fraction form
   6,972/10,204.50 = 10,204.50/x
3. Step 3: Cross multiply
   6,972x = 10,204.50 × 10,204.50
4. Step 4: Simplify right side
   6,972x = 104,131,820.25
5. Step 5: Solve for x
   x = 104,131,820.25/6,972
6. Step 6: Final answer
   x = 14,935.72