Finding the Third Proportional to 9,794.25 and 17,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,794.25 : 17,347.50 = 17,347.50 : x
2. Step 2: Convert to fraction form
   9,794.25/17,347.50 = 17,347.50/x
3. Step 3: Cross multiply
   9,794.25x = 17,347.50 × 17,347.50
4. Step 4: Simplify right side
   9,794.25x = 300,935,756.25
5. Step 5: Solve for x
   x = 300,935,756.25/9,794.25
6. Step 6: Final answer
   x = 30,725.76