Finding the Third Proportional to 2,205 and 4,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205 : 4,801.50 = 4,801.50 : x
2. Step 2: Convert to fraction form
   2,205/4,801.50 = 4,801.50/x
3. Step 3: Cross multiply
   2,205x = 4,801.50 × 4,801.50
4. Step 4: Simplify right side
   2,205x = 23,054,402.25
5. Step 5: Solve for x
   x = 23,054,402.25/2,205
6. Step 6: Final answer
   x = 10,455.51