Finding the Third Proportional to 4,695.31 and 7,266.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,695.31 : 7,266.56 = 7,266.56 : x
2. Step 2: Convert to fraction form
   4,695.31/7,266.56 = 7,266.56/x
3. Step 3: Cross multiply
   4,695.31x = 7,266.56 × 7,266.56
4. Step 4: Simplify right side
   4,695.31x = 52,802,930.57
5. Step 5: Solve for x
   x = 52,802,930.57/4,695.31
6. Step 6: Final answer
   x = 11,245.88