Finding the Third Proportional to 9,783 and 23,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783 : 23,359.50 = 23,359.50 : x
2. Step 2: Convert to fraction form
   9,783/23,359.50 = 23,359.50/x
3. Step 3: Cross multiply
   9,783x = 23,359.50 × 23,359.50
4. Step 4: Simplify right side
   9,783x = 545,666,240.25
5. Step 5: Solve for x
   x = 545,666,240.25/9,783
6. Step 6: Final answer
   x = 55,776.98