Finding the Third Proportional to 10,478.25 and 15,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.25 : 15,907.50 = 15,907.50 : x
2. Step 2: Convert to fraction form
   10,478.25/15,907.50 = 15,907.50/x
3. Step 3: Cross multiply
   10,478.25x = 15,907.50 × 15,907.50
4. Step 4: Simplify right side
   10,478.25x = 253,048,556.25
5. Step 5: Solve for x
   x = 253,048,556.25/10,478.25
6. Step 6: Final answer
   x = 24,149.89