Finding the Third Proportional to 10,488 and 22,584

Step by Step Solution

1. Step 1: Write the proportion equation
   10,488 : 22,584 = 22,584 : x
2. Step 2: Convert to fraction form
   10,488/22,584 = 22,584/x
3. Step 3: Cross multiply
   10,488x = 22,584 × 22,584
4. Step 4: Simplify right side
   10,488x = 510,037,056
5. Step 5: Solve for x
   x = 510,037,056/10,488
6. Step 6: Final answer
   x = 48,630.54