Finding the Third Proportional to 2,100.75 and 4,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,100.75 : 4,477.50 = 4,477.50 : x
2. Step 2: Convert to fraction form
   2,100.75/4,477.50 = 4,477.50/x
3. Step 3: Cross multiply
   2,100.75x = 4,477.50 × 4,477.50
4. Step 4: Simplify right side
   2,100.75x = 20,048,006.25
5. Step 5: Solve for x
   x = 20,048,006.25/2,100.75
6. Step 6: Final answer
   x = 9,543.26