Finding the Third Proportional to 21,830 and 46,846

Step by Step Solution

1. Step 1: Write the proportion equation
   21,830 : 46,846 = 46,846 : x
2. Step 2: Convert to fraction form
   21,830/46,846 = 46,846/x
3. Step 3: Cross multiply
   21,830x = 46,846 × 46,846
4. Step 4: Simplify right side
   21,830x = 2,194,547,716
5. Step 5: Solve for x
   x = 2,194,547,716/21,830
6. Step 6: Final answer
   x = 100,528.98