Finding the Third Proportional to 9,642 and 15,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642 : 15,280.50 = 15,280.50 : x
2. Step 2: Convert to fraction form
   9,642/15,280.50 = 15,280.50/x
3. Step 3: Cross multiply
   9,642x = 15,280.50 × 15,280.50
4. Step 4: Simplify right side
   9,642x = 233,493,680.25
5. Step 5: Solve for x
   x = 233,493,680.25/9,642
6. Step 6: Final answer
   x = 24,216.31