Finding the Third Proportional to 6,946.50 and 10,772.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,946.50 : 10,772.25 = 10,772.25 : x
2. Step 2: Convert to fraction form
   6,946.50/10,772.25 = 10,772.25/x
3. Step 3: Cross multiply
   6,946.50x = 10,772.25 × 10,772.25
4. Step 4: Simplify right side
   6,946.50x = 116,041,370.06
5. Step 5: Solve for x
   x = 116,041,370.06/6,946.50
6. Step 6: Final answer
   x = 16,705.01