Finding the Third Proportional to 22,282 and 46,400

Step by Step Solution

1. Step 1: Write the proportion equation
   22,282 : 46,400 = 46,400 : x
2. Step 2: Convert to fraction form
   22,282/46,400 = 46,400/x
3. Step 3: Cross multiply
   22,282x = 46,400 × 46,400
4. Step 4: Simplify right side
   22,282x = 2,152,960,000
5. Step 5: Solve for x
   x = 2,152,960,000/22,282
6. Step 6: Final answer
   x = 96,623.28