Finding the Third Proportional to 22,322 and 46,096

Step by Step Solution

1. Step 1: Write the proportion equation
   22,322 : 46,096 = 46,096 : x
2. Step 2: Convert to fraction form
   22,322/46,096 = 46,096/x
3. Step 3: Cross multiply
   22,322x = 46,096 × 46,096
4. Step 4: Simplify right side
   22,322x = 2,124,841,216
5. Step 5: Solve for x
   x = 2,124,841,216/22,322
6. Step 6: Final answer
   x = 95,190.45