Finding the Third Proportional to 9,301.50 and 11,333.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,301.50 : 11,333.25 = 11,333.25 : x
2. Step 2: Convert to fraction form
   9,301.50/11,333.25 = 11,333.25/x
3. Step 3: Cross multiply
   9,301.50x = 11,333.25 × 11,333.25
4. Step 4: Simplify right side
   9,301.50x = 128,442,555.56
5. Step 5: Solve for x
   x = 128,442,555.56/9,301.50
6. Step 6: Final answer
   x = 13,808.80