Finding the Third Proportional to 21,084 and 45,426

Step by Step Solution

1. Step 1: Write the proportion equation
   21,084 : 45,426 = 45,426 : x
2. Step 2: Convert to fraction form
   21,084/45,426 = 45,426/x
3. Step 3: Cross multiply
   21,084x = 45,426 × 45,426
4. Step 4: Simplify right side
   21,084x = 2,063,521,476
5. Step 5: Solve for x
   x = 2,063,521,476/21,084
6. Step 6: Final answer
   x = 97,871.44