Finding the Third Proportional to 8,548.50 and 14,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,548.50 : 14,827.50 = 14,827.50 : x
2. Step 2: Convert to fraction form
   8,548.50/14,827.50 = 14,827.50/x
3. Step 3: Cross multiply
   8,548.50x = 14,827.50 × 14,827.50
4. Step 4: Simplify right side
   8,548.50x = 219,854,756.25
5. Step 5: Solve for x
   x = 219,854,756.25/8,548.50
6. Step 6: Final answer
   x = 25,718.52