Finding the Third Proportional to 21,416 and 46,114

Step by Step Solution

1. Step 1: Write the proportion equation
   21,416 : 46,114 = 46,114 : x
2. Step 2: Convert to fraction form
   21,416/46,114 = 46,114/x
3. Step 3: Cross multiply
   21,416x = 46,114 × 46,114
4. Step 4: Simplify right side
   21,416x = 2,126,500,996
5. Step 5: Solve for x
   x = 2,126,500,996/21,416
6. Step 6: Final answer
   x = 99,294.97