Finding the Third Proportional to 23,830 and 51,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,830 : 51,583.50 = 51,583.50 : x
2. Step 2: Convert to fraction form
   23,830/51,583.50 = 51,583.50/x
3. Step 3: Cross multiply
   23,830x = 51,583.50 × 51,583.50
4. Step 4: Simplify right side
   23,830x = 2,660,857,472.25
5. Step 5: Solve for x
   x = 2,660,857,472.25/23,830
6. Step 6: Final answer
   x = 111,659.99