Finding the Third Proportional to 7,809.75 and 17,005.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,809.75 : 17,005.78 = 17,005.78 : x
2. Step 2: Convert to fraction form
   7,809.75/17,005.78 = 17,005.78/x
3. Step 3: Cross multiply
   7,809.75x = 17,005.78 × 17,005.78
4. Step 4: Simplify right side
   7,809.75x = 289,196,595.92
5. Step 5: Solve for x
   x = 289,196,595.92/7,809.75
6. Step 6: Final answer
   x = 37,030.20