Finding the Third Proportional to 2,101 and 4,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,101 : 4,467.50 = 4,467.50 : x
2. Step 2: Convert to fraction form
   2,101/4,467.50 = 4,467.50/x
3. Step 3: Cross multiply
   2,101x = 4,467.50 × 4,467.50
4. Step 4: Simplify right side
   2,101x = 19,958,556.25
5. Step 5: Solve for x
   x = 19,958,556.25/2,101
6. Step 6: Final answer
   x = 9,499.55