Finding the Third Proportional to 7,266 and 10,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,266 : 10,696.50 = 10,696.50 : x
2. Step 2: Convert to fraction form
   7,266/10,696.50 = 10,696.50/x
3. Step 3: Cross multiply
   7,266x = 10,696.50 × 10,696.50
4. Step 4: Simplify right side
   7,266x = 114,415,112.25
5. Step 5: Solve for x
   x = 114,415,112.25/7,266
6. Step 6: Final answer
   x = 15,746.64