Finding the Third Proportional to 10,270.50 and 14,927.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,270.50 : 14,927.25 = 14,927.25 : x
2. Step 2: Convert to fraction form
   10,270.50/14,927.25 = 14,927.25/x
3. Step 3: Cross multiply
   10,270.50x = 14,927.25 × 14,927.25
4. Step 4: Simplify right side
   10,270.50x = 222,822,792.56
5. Step 5: Solve for x
   x = 222,822,792.56/10,270.50
6. Step 6: Final answer
   x = 21,695.42