Finding the Third Proportional to 12,584 and 23,632

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584 : 23,632 = 23,632 : x
2. Step 2: Convert to fraction form
   12,584/23,632 = 23,632/x
3. Step 3: Cross multiply
   12,584x = 23,632 × 23,632
4. Step 4: Simplify right side
   12,584x = 558,471,424
5. Step 5: Solve for x
   x = 558,471,424/12,584
6. Step 6: Final answer
   x = 44,379.48