Finding the Third Proportional to 10,584 and 22,573.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584 : 22,573.88 = 22,573.88 : x
2. Step 2: Convert to fraction form
   10,584/22,573.88 = 22,573.88/x
3. Step 3: Cross multiply
   10,584x = 22,573.88 × 22,573.88
4. Step 4: Simplify right side
   10,584x = 509,579,832.52
5. Step 5: Solve for x
   x = 509,579,832.52/10,584
6. Step 6: Final answer
   x = 48,146.24