Finding the Third Proportional to 7,790.75 and 17,009.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,790.75 : 17,009.25 = 17,009.25 : x
2. Step 2: Convert to fraction form
   7,790.75/17,009.25 = 17,009.25/x
3. Step 3: Cross multiply
   7,790.75x = 17,009.25 × 17,009.25
4. Step 4: Simplify right side
   7,790.75x = 289,314,585.56
5. Step 5: Solve for x
   x = 289,314,585.56/7,790.75
6. Step 6: Final answer
   x = 37,135.65