Finding the Third Proportional to 10,454 and 22,364

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454 : 22,364 = 22,364 : x
2. Step 2: Convert to fraction form
   10,454/22,364 = 22,364/x
3. Step 3: Cross multiply
   10,454x = 22,364 × 22,364
4. Step 4: Simplify right side
   10,454x = 500,148,496
5. Step 5: Solve for x
   x = 500,148,496/10,454
6. Step 6: Final answer
   x = 47,842.79