Finding the Third Proportional to 9,789.50 and 19,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.50 : 19,086.50 = 19,086.50 : x
2. Step 2: Convert to fraction form
   9,789.50/19,086.50 = 19,086.50/x
3. Step 3: Cross multiply
   9,789.50x = 19,086.50 × 19,086.50
4. Step 4: Simplify right side
   9,789.50x = 364,294,482.25
5. Step 5: Solve for x
   x = 364,294,482.25/9,789.50
6. Step 6: Final answer
   x = 37,212.78