Finding the Third Proportional to 9,570 and 21,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,570 : 21,478.50 = 21,478.50 : x
2. Step 2: Convert to fraction form
   9,570/21,478.50 = 21,478.50/x
3. Step 3: Cross multiply
   9,570x = 21,478.50 × 21,478.50
4. Step 4: Simplify right side
   9,570x = 461,325,962.25
5. Step 5: Solve for x
   x = 461,325,962.25/9,570
6. Step 6: Final answer
   x = 48,205.43