Finding the Third Proportional to 10,267.50 and 22,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,267.50 : 22,175.50 = 22,175.50 : x
2. Step 2: Convert to fraction form
   10,267.50/22,175.50 = 22,175.50/x
3. Step 3: Cross multiply
   10,267.50x = 22,175.50 × 22,175.50
4. Step 4: Simplify right side
   10,267.50x = 491,752,800.25
5. Step 5: Solve for x
   x = 491,752,800.25/10,267.50
6. Step 6: Final answer
   x = 47,894.11