Finding the Third Proportional to 23,142 and 50,835

Step by Step Solution

1. Step 1: Write the proportion equation
   23,142 : 50,835 = 50,835 : x
2. Step 2: Convert to fraction form
   23,142/50,835 = 50,835/x
3. Step 3: Cross multiply
   23,142x = 50,835 × 50,835
4. Step 4: Simplify right side
   23,142x = 2,584,197,225
5. Step 5: Solve for x
   x = 2,584,197,225/23,142
6. Step 6: Final answer
   x = 111,666.98