Finding the Third Proportional to 9,978.50 and 15,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.50 : 15,653.50 = 15,653.50 : x
2. Step 2: Convert to fraction form
   9,978.50/15,653.50 = 15,653.50/x
3. Step 3: Cross multiply
   9,978.50x = 15,653.50 × 15,653.50
4. Step 4: Simplify right side
   9,978.50x = 245,032,062.25
5. Step 5: Solve for x
   x = 245,032,062.25/9,978.50
6. Step 6: Final answer
   x = 24,556.00