Finding the Third Proportional to 23,642 and 48,500

Step by Step Solution

1. Step 1: Write the proportion equation
   23,642 : 48,500 = 48,500 : x
2. Step 2: Convert to fraction form
   23,642/48,500 = 48,500/x
3. Step 3: Cross multiply
   23,642x = 48,500 × 48,500
4. Step 4: Simplify right side
   23,642x = 2,352,250,000
5. Step 5: Solve for x
   x = 2,352,250,000/23,642
6. Step 6: Final answer
   x = 99,494.54