Finding the Third Proportional to 7,269.75 and 11,642.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,269.75 : 11,642.06 = 11,642.06 : x
2. Step 2: Convert to fraction form
   7,269.75/11,642.06 = 11,642.06/x
3. Step 3: Cross multiply
   7,269.75x = 11,642.06 × 11,642.06
4. Step 4: Simplify right side
   7,269.75x = 135,537,619.25
5. Step 5: Solve for x
   x = 135,537,619.25/7,269.75
6. Step 6: Final answer
   x = 18,644.06