Finding the Third Proportional to 22,406 and 46,970

Step by Step Solution

1. Step 1: Write the proportion equation
   22,406 : 46,970 = 46,970 : x
2. Step 2: Convert to fraction form
   22,406/46,970 = 46,970/x
3. Step 3: Cross multiply
   22,406x = 46,970 × 46,970
4. Step 4: Simplify right side
   22,406x = 2,206,180,900
5. Step 5: Solve for x
   x = 2,206,180,900/22,406
6. Step 6: Final answer
   x = 98,463.84