Finding the Third Proportional to 21,412 and 45,416

Step by Step Solution

1. Step 1: Write the proportion equation
   21,412 : 45,416 = 45,416 : x
2. Step 2: Convert to fraction form
   21,412/45,416 = 45,416/x
3. Step 3: Cross multiply
   21,412x = 45,416 × 45,416
4. Step 4: Simplify right side
   21,412x = 2,062,613,056
5. Step 5: Solve for x
   x = 2,062,613,056/21,412
6. Step 6: Final answer
   x = 96,329.77