Finding the Third Proportional to 7,525.69 and 16,266.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,525.69 : 16,266.38 = 16,266.38 : x
2. Step 2: Convert to fraction form
   7,525.69/16,266.38 = 16,266.38/x
3. Step 3: Cross multiply
   7,525.69x = 16,266.38 × 16,266.38
4. Step 4: Simplify right side
   7,525.69x = 264,594,955.64
5. Step 5: Solve for x
   x = 264,594,955.64/7,525.69
6. Step 6: Final answer
   x = 35,158.91