Finding the Third Proportional to 10,888 and 23,584

Step by Step Solution

1. Step 1: Write the proportion equation
   10,888 : 23,584 = 23,584 : x
2. Step 2: Convert to fraction form
   10,888/23,584 = 23,584/x
3. Step 3: Cross multiply
   10,888x = 23,584 × 23,584
4. Step 4: Simplify right side
   10,888x = 556,205,056
5. Step 5: Solve for x
   x = 556,205,056/10,888
6. Step 6: Final answer
   x = 51,084.23