Finding the Third Proportional to 2,795 and 4,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,795 : 4,472.50 = 4,472.50 : x
2. Step 2: Convert to fraction form
   2,795/4,472.50 = 4,472.50/x
3. Step 3: Cross multiply
   2,795x = 4,472.50 × 4,472.50
4. Step 4: Simplify right side
   2,795x = 20,003,256.25
5. Step 5: Solve for x
   x = 20,003,256.25/2,795
6. Step 6: Final answer
   x = 7,156.80