Finding the Third Proportional to 22,116 and 46,281

Step by Step Solution

1. Step 1: Write the proportion equation
   22,116 : 46,281 = 46,281 : x
2. Step 2: Convert to fraction form
   22,116/46,281 = 46,281/x
3. Step 3: Cross multiply
   22,116x = 46,281 × 46,281
4. Step 4: Simplify right side
   22,116x = 2,141,930,961
5. Step 5: Solve for x
   x = 2,141,930,961/22,116
6. Step 6: Final answer
   x = 96,849.84