Finding the Third Proportional to 23,142 and 50,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,142 : 50,197.50 = 50,197.50 : x
2. Step 2: Convert to fraction form
   23,142/50,197.50 = 50,197.50/x
3. Step 3: Cross multiply
   23,142x = 50,197.50 × 50,197.50
4. Step 4: Simplify right side
   23,142x = 2,519,789,006.25
5. Step 5: Solve for x
   x = 2,519,789,006.25/23,142
6. Step 6: Final answer
   x = 108,883.80