Finding the Third Proportional to 22,688 and 53,648

Step by Step Solution

1. Step 1: Write the proportion equation
   22,688 : 53,648 = 53,648 : x
2. Step 2: Convert to fraction form
   22,688/53,648 = 53,648/x
3. Step 3: Cross multiply
   22,688x = 53,648 × 53,648
4. Step 4: Simplify right side
   22,688x = 2,878,107,904
5. Step 5: Solve for x
   x = 2,878,107,904/22,688
6. Step 6: Final answer
   x = 126,855.95