Finding the Third Proportional to 7,535.25 and 16,410.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,535.25 : 16,410.38 = 16,410.38 : x
2. Step 2: Convert to fraction form
   7,535.25/16,410.38 = 16,410.38/x
3. Step 3: Cross multiply
   7,535.25x = 16,410.38 × 16,410.38
4. Step 4: Simplify right side
   7,535.25x = 269,300,407.64
5. Step 5: Solve for x
   x = 269,300,407.64/7,535.25
6. Step 6: Final answer
   x = 35,738.75