Finding the Third Proportional to 2,810.50 and 4,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,810.50 : 4,212.50 = 4,212.50 : x
2. Step 2: Convert to fraction form
   2,810.50/4,212.50 = 4,212.50/x
3. Step 3: Cross multiply
   2,810.50x = 4,212.50 × 4,212.50
4. Step 4: Simplify right side
   2,810.50x = 17,745,156.25
5. Step 5: Solve for x
   x = 17,745,156.25/2,810.50
6. Step 6: Final answer
   x = 6,313.88