Finding the Third Proportional to 10,584 and 23,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584 : 23,344.50 = 23,344.50 : x
2. Step 2: Convert to fraction form
   10,584/23,344.50 = 23,344.50/x
3. Step 3: Cross multiply
   10,584x = 23,344.50 × 23,344.50
4. Step 4: Simplify right side
   10,584x = 544,965,680.25
5. Step 5: Solve for x
   x = 544,965,680.25/10,584
6. Step 6: Final answer
   x = 51,489.58