Finding the Third Proportional to 21,518 and 46,434

Step by Step Solution

1. Step 1: Write the proportion equation
   21,518 : 46,434 = 46,434 : x
2. Step 2: Convert to fraction form
   21,518/46,434 = 46,434/x
3. Step 3: Cross multiply
   21,518x = 46,434 × 46,434
4. Step 4: Simplify right side
   21,518x = 2,156,116,356
5. Step 5: Solve for x
   x = 2,156,116,356/21,518
6. Step 6: Final answer
   x = 100,200.59