Finding the Third Proportional to 7,564.25 and 11,665.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,564.25 : 11,665.38 = 11,665.38 : x
2. Step 2: Convert to fraction form
   7,564.25/11,665.38 = 11,665.38/x
3. Step 3: Cross multiply
   7,564.25x = 11,665.38 × 11,665.38
4. Step 4: Simplify right side
   7,564.25x = 136,080,973.89
5. Step 5: Solve for x
   x = 136,080,973.89/7,564.25
6. Step 6: Final answer
   x = 17,990.02