Finding the Third Proportional to 11,042.50 and 16,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,042.50 : 16,624.50 = 16,624.50 : x
2. Step 2: Convert to fraction form
   11,042.50/16,624.50 = 16,624.50/x
3. Step 3: Cross multiply
   11,042.50x = 16,624.50 × 16,624.50
4. Step 4: Simplify right side
   11,042.50x = 276,374,000.25
5. Step 5: Solve for x
   x = 276,374,000.25/11,042.50
6. Step 6: Final answer
   x = 25,028.21