Finding the Third Proportional to 4,212 and 5,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,212 : 5,647.50 = 5,647.50 : x
2. Step 2: Convert to fraction form
   4,212/5,647.50 = 5,647.50/x
3. Step 3: Cross multiply
   4,212x = 5,647.50 × 5,647.50
4. Step 4: Simplify right side
   4,212x = 31,894,256.25
5. Step 5: Solve for x
   x = 31,894,256.25/4,212
6. Step 6: Final answer
   x = 7,572.24