Finding the Third Proportional to 2,157.50 and 4,622.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,157.50 : 4,622.25 = 4,622.25 : x
2. Step 2: Convert to fraction form
   2,157.50/4,622.25 = 4,622.25/x
3. Step 3: Cross multiply
   2,157.50x = 4,622.25 × 4,622.25
4. Step 4: Simplify right side
   2,157.50x = 21,365,195.06
5. Step 5: Solve for x
   x = 21,365,195.06/2,157.50
6. Step 6: Final answer
   x = 9,902.76