Finding the Third Proportional to 21,300 and 46,326

Step by Step Solution

1. Step 1: Write the proportion equation
   21,300 : 46,326 = 46,326 : x
2. Step 2: Convert to fraction form
   21,300/46,326 = 46,326/x
3. Step 3: Cross multiply
   21,300x = 46,326 × 46,326
4. Step 4: Simplify right side
   21,300x = 2,146,098,276
5. Step 5: Solve for x
   x = 2,146,098,276/21,300
6. Step 6: Final answer
   x = 100,755.79