Finding the Third Proportional to 10,199.50 and 14,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.50 : 14,907.50 = 14,907.50 : x
2. Step 2: Convert to fraction form
   10,199.50/14,907.50 = 14,907.50/x
3. Step 3: Cross multiply
   10,199.50x = 14,907.50 × 14,907.50
4. Step 4: Simplify right side
   10,199.50x = 222,233,556.25
5. Step 5: Solve for x
   x = 222,233,556.25/10,199.50
6. Step 6: Final answer
   x = 21,788.67